Modules and Courses
Master of Science
in
Physics
15. Juli 2026
Table of contents
1 List of Modules and Courses 5
1.1 OverviewoftheModules.................................... 5
1.2 ListofTopicalCourses..................................... 6
1.3 SubsidiarySubjects....................................... 8
1.3.1 Further Subsidiary Subjects . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9
2 Important Remarks 11
2.1 GeneralRemarks........................................ 11
2.2 Rulesandregulations ..................................... 12
2.2.1 Introductoryremarks ................................. 12
2.2.2 How to register for a class and an exam? . . . . . . . . . . . . . . . . . . . . . . . 12
2.2.3 What happens if you fail an exam and have to repeat? . . . . . . . . . . . . . . . 13
2.2.4 What happens if you fail to participate in an exam or withdraw from the exam? 13
2.3 Recognition of achievements . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13
2.4 Remarks Concerning Research Phase . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 14
2.5 Examples for Module Sequence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 15
3 Detailed description of the Modules and Courses 17
3.1 ExperimentalPhysics ..................................... 17
3.2 TheoreticalPhysics....................................... 23
3.3 Laboratory Courses and Seminars . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 31
3.4 TopicalCourses......................................... 33
3.4.1 Condensed Matter Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 33
3.4.2 Quantum, Atomic and Neutron Physics . . . . . . . . . . . . . . . . . . . . . . . 53
3.4.3 Nuclear and Particle Physics . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60
3.5 FocusCourses.......................................... 82
3.6 ResearchPhase......................................... 83
3.7 SubsidiarySubjects....................................... 86
3.7.1 Chemistry........................................ 86
3.7.2 ComputerScience ................................... 91
3.7.3 Economics........................................ 95
3.7.4 History of Natural Sciences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 96
3.7.5 Mathematics ...................................... 98
3.7.6 Meteorology.......................................125
3.7.7 Philosophy .......................................126
3.8 interdisciplinary Courses . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 129
3
1 List of Modules and Courses
1.1 Overview of the Modules
Module SWS CP
required modules
Experimental Physics 3 V + 1 Ü 6
Theoretical Physics 4 V + 2 Ü 9
Seminars 4 S 8
Advanced laboratory course 8 P 10
sum 33
Research Phase
Specialization F 15
Methodological Knowledge F 15
Master thesis F 30
sum 60
Compulsory Elective Modules
Topical Courses 3 V + 1 Ü 6
Advanced Theoretical Physics 4 V + 2 Ü 9
to choose 12-27
Elective Modules
Focus Courses 2 3
Research Module 4 V 6
Subsidiary Subject (cf. chapter 1.3) 9-15
to choose 0-15
Total 120
5
1 List of Modules and Courses
1.2 List of Topical Courses
Here is a list of topical courses that are offered regularly. You will find the actual list for each semester
in Jogustine.
•Condensed Matter Physics
–Selected Topics in Condensed Matter Physics
–Advanced Solid State Physics
–Modern Experimental Methods in Condensed Matter Physics
–Materials Science
–Introduction to Advanced Materials - from soft matter to hard matter
–Quantum Spintronics
–Superconductivity
–Nonequilibrium phenomena in quantum matter
–Introduction to Condensed Matter Theory
–Selected Chapters of Condensed Matter Theory
–Theory of Soft Matter I
–Modern Computational Techniques in Condensed/Soft Matter Physics
–Computer Simulations in Statistical Physics
–Soft Materials at Interfaces
–Biophysics
–Advanced theoretical solid state physics
–Theory of Soft Matter II
•Quantum, Atomic and Neutron Physics
–Quantum Optics (Q-Ex-1)
–Photonics (Q-Ex-2)
–Quantum Information (Q-Ex-3)
–Precision Fundamental Physics (Q-Ex-4)
•Nuclear and Particle Physics
–Statistics, Data Analysis and Simulation
–Particle Detectors
–Accelerator Physics
–Particle Physics
–Astroparticle Physics
–Cosmology and General Relativity
–Symmetries in Physics
–Modern Methods in Theoretical High Energy, Particle and Nuclear Physics
–Theoretical Particle Physics
–Theoretical Nuclear Physics
6
1.2 List of Topical Courses
–Introduction to Lattice Gauge Theory
–Introduction to String Theory
–Effective Field Theories
–Theoretical Astroparticle Physics
–Amplitudes and Precision Physics at the LHC
–Functional Methods and Exact Renormalization Group
–Advanced Particle Physics
–Advanced Chapters on Subatomic Physics
–Advanced Astroparticle- and Astrophysics
–Advanced Accelerator Physics
7
1 List of Modules and Courses
1.3 Subsidiary Subjects
Subsidiary Subject SWS CP
Chemistry
Nuclear Chemistry 2 V + 1 Ü + 5 P 9
Nuclear Chemistry (with 1 additional advanced lecture) 4 V + 1 Ü + 5 P 12
Nuclear Chemistry (with 2 additional advanced lectures) 6 V + 1 Ü + 5 P 15
Introduction in Theoretical Chemistry 4 V + 1 Ü + 5 P 9
Theoretical Chemistry 4 V + 2 Ü + 10P 12
Computer Science
Computer Science I 2 V + 2 Ü + 2 P 9
Computer Science II 4 V + 4 Ü 12
Computer Science III 4 V + 4 Ü + 2 P 15
Computer Science IV 4 V + 4 Ü + 2 S 16
Economics
International Economics & Public Policy 6 V+Ü 12
Finance & Accounting 6 V+Ü 12
Marketing, Management & Operations 6 V+Ü 12
History of Natural Science
History of Natural Science I 4 V + 4 S + 2 Ü 15
History of Natural Science II 2 HS + 2 S 9
Mathematics
Functional Analysis 4 V + 2 Ü 9
Functional Analysis (with Functional Analysis II) 8 V + 2 Ü 15
Partial differential equations 4 V + 2 Ü 9
Partial differential equations (with partial differential equations II) 8 V + 2 Ü 15
Fundamentals in stochastics 4 V + 2 Ü 9
Fundamentals in stochastics (with stochastics I) 8 V + 2 Ü 15
Stochastics I 4 V + 2 Ü 9
Stochastics I (with stochastics II) 8 V + 2 Ü 15
Stochastics 2 8 V 15
Basic numerics 4 V + 2 Ü 9
Basic numerics (with numerical methods of ordinary differential equa-
tions)
8 V + 2 Ü 15
Numerics of differential equations 4 V + 2 Ü 9
Numerics of differential equations (with partial differential equations) 8 V + 2 Ü 15
Algebra 4 V + 2 Ü 9
Algebra (with “Fields, Rings, Modules”) 8 V + 2 Ü 15
Topology 4 V + 2 Ü 9
Topology (with “Algebraic curves and Riemannian surfaces”) 8 V + 2 Ü 15
Computer algebra 4 V + 2 Ü 9
Computer algebra (with Number Theory) 8 V + 2 Ü 15
Differential Geometry and Manifolds 4 V + 2 Ü 9
Function Theory 4 V + 2 Ü 9
Number Theory 4 V + 2 Ü 9
Functional Analysis 8 V + 2 Ü 15
Basics of Numerical Mathematics (with laboratory) 4 V + 2 Ü + 2 P 12
8
1.3 Subsidiary Subjects
Subsidiary Subject SWS CP
Complex Differential Geometry 8 V + 2 Ü 15
Algebraic Geometry 8 V 15
In-depth module Analysis 8 V + 2 Ü 15
In-depth module Gauge Theory 8 V + 2 Ü 15
Meteorology
Clouds and Aerosols 15
Dynamics of Weather and Climate 15
Modelling 14
Composition of the Atmosphere 13
Philosophy
Modern Philosophy 6 S 15
Interdisciplinary Courses
History of Natural Science I 3 V 3
History of Natural Science II 3 V 3
1.3.1 Further Subsidiary Subjects
Upon request additional subsidiary subjects can be added from other faculties of the university. Those
need to be approved by the corresponding commitee („Fachausschusses für Studium und Lehre Physik“)
and a dedicated contract has to be established with the faculty. The proposed subsidiary subject should
be related to either natural sciences or mathematics. It is therefore advised to consult the head of the
exams commitee before filing such a request.
9
2 Important Remarks
2.1 General Remarks
1. The language of all physics courses is English unless all participants are proficient in German
and there is a consent to hold the course in German.
2. Within the Master of Science in Physics studies, a minimum of 120 credit points (CP) must be
obtained. If the number of credit points is exceeded by more than 6 CP, the study advisor has
to be contacted to discuss the situation.
3. Before completion of the master studies either
a) all three experimental physics courses (Ex-5a, Ex-5b, Ex-5c, or Ex-A, Ex-B, Ex-C, respec-
tively) and 5 main courses in theoretical physics
b) or at least two of the three experimental physics courses and 6 main courses in theoretical
physics
have to be completed successfully. In case only one of the experimental physics courses was part
of the bachelor studies a corresponding requirement will be issued at the time of admission to
the master studies.
4. If you choose a subsidiary subject then you have to obtain at least 9 credit points in this subject.
On request, subsidiary subjects not listed in this document may be chosen among courses given
at the Johannes Gutenberg-Universität Mainz, the TU Darmstadt or the Goethe-Universität
Frankfurt. Please consult the chair of the examination committee before submitting such a re-
quest. While many subsidiary subjects will only be given in German, it is worth asking the docent
to provide the lectures in English if there is a need.
5. In case all three experimental physics lectures (Ex-5a, Ex-5b, Ex-5c, or Ex-A, Ex-B, Ex-C,
respectively) were completed successfully before the start of the master studies, an additional
topical course has to be taken.
6. Equivalent courses taken at other universities may be recognised with the credit points awarded
for the corresponding course in Mainz. Moderate additional requirements may be imposed.
7. The interdisciplinary course (3 CP) is optional. In addition to the courses listed in this document,
also courses from the “Studium Generale” and internships (“summer student programmes”) at
large research laboratories may be accepted. Language courses outside of “Studium Generale” or
internships in industry or research institutes can only be recognised after consulting the study
advisor. The credit points are added to the points for the subsidiary subject and in total a
maximum of 15 credit points can be obtained.
8. Additional main courses in theoretical physics can be chosen within the module Ädvanced Theo-
retical Physics. This module is optional.
9. In the case of outstanding performance (currently a final grade of 1.2 or or better and a grade of
1.0 for the Master’s thesis), the overall grade ppassed with distinction"will be awarded, provided
that the Master’s programme was concluded within 4 semesters (including the time required to
complete the Master’s thesis and the final colloquium).
11
2 Important Remarks
2.2 Rules and regulations
The academic rules and regulations of the MSc program in physics at the Johannes Gutenberg Uni-
versity Mainz are summarized in the so-called “Prüfungsordnung” – or in short – “PO” (see https:
//www.studium.fb08.uni-mainz.de/downloadcenter-physik/). As a legal document, it needs to
be formulated in German. However, we are summarizing some important points (and pit-falls) below
in English.
2.2.1 Introductory remarks
•If you have questions, you should first contact the student advisor (“Studienfachberater”) or
the manager of studies (“Studienmanager”) via our contact form http://helpdesk.fb08.
uni-mainz.de/?l=1 . The office of student affairs (“Studienbüro”, Staudingerweg 7, room 05
430, 10-12 pm Mondays to Thursday) is responsible for transcripts and certification documents,
maintains recognized achievements in Jogustine and accepts applications to the Examination
Board.
•A module may comprise several courses, such as teaching classes, exercises and labs. In the MSc
program, a module typically consists of lecture sessions and exercise classes.
•All modules in the MSc program are graded based either on written exams, oral exams, presen-
tations, reports on projects, or laboratory work. The grade of Focus Courses do not enter the
overall grade of the MSc.
•German grades are on a scale of 1.0 (best possible grade) to 4.0 (lowest passing grade). 5.0 is a
failing grade. A popular formula to translate your grade into that of the German system is the
so-called modified Bavarian formula
Nmax −N
Nmax −Nmin
·3 + 1.
Where Nmax is the highest possible grade in your home country’s grading system, Nmin is lowest
possible passing grade in your home country’s grading system and Nthe grade you want to
convert.
2.2.2 How to register for a class and an exam?
At the JGU, we offer – with a few exceptions – a two-step registration process.
•At the end of the preceding term, in the week before the term starts and during the first
week of lectures, students register their classes via Jogustine https://www.info.jogustine.
uni-mainz.de/anmeldephasen/lehrveranstaltungsanmeldephasen/. You may drop out of a
class without problems.
•Around mid-term, however, Jogustine will allow you for two weeks to register for the exam if
you opt for this. The registration periods can be found here: https://www.info.jogustine.
uni-mainz.de/anmeldephasen/pruefungsanmeldephasen/. Such a registration is binding! Note
that our department allows you retract from your registration, as long as you do it 1 week (1pm)
before the exam is scheduled.
•After expiry of the registration or de-registration deadlines, a withdrawal is only possible in
justified individual cases. This applies, for example, if you have been sick and this fact is proven
by a medical certificate.
12
2.3 Recognition of achievements
2.2.3 What happens if you fail an exam and have to repeat?
•Failed compulsory and elective module examinations may be repeated at most twice. An oral
supplementary examination may, however, be approved by the examination committee followi-
ng a written application to the examination board. A grade of 4.0 will be given in case the
supplementary exam has been passed.
•It is not allowed to repeat an exam that was passed before.
•Students who have not passed a compulsory elective module examination may switch to a different
elective module after having failed one, twice or three times. For the new elective module, the
student receives three more attempts to successfully complete the exam.
•The registration for the first repetition of a module examination or partial module examination
should take place within six months after the failure and the second repetition of the exam should
take place within twelve months of the failure of the first repetition; the registration.
•The registrations are performed automatically by the examination office, unless the exam has
been passed in the mean-time.
•Only in justified cases, longer deadlines may be granted for the first and a second repetition.
However, the time period may not exceed one year and nine months. If the deadlines to repeat
the examinations have been missed, the exams are considered failed.
•If an examination can no longer be repeated, the Master’s program is considered failed and
the continuation of studies in the same master’s program is no longer possible in a German
University.
2.2.4 What happens if you fail to participate in an exam or withdraw from the exam?
•If the candidate does not appear to a duly established and notified appointment without good
reasons or he or she steps back from the exam without valid reasons, the grade is rated as “not
sufficient” (5,0).
•Exams are also considered failed if the candidate did not complete the exam or file a written
report (e.g. the Master’s thesis) within the prescribed time limits.
•If you disagree with the decision, the reasons for the failure or withdrawal need to be promptly
notified in writing to the examination board and made credible. Should the Examining Board
recognize the reasons, the exam will be re-scheduled.
•If the candidates fails to appear or withdraws from the exam because of illness, this must be
proven by a medical certificate at the latest by the third day after the exam date.
2.3 Recognition of achievements
Achievements obtained in other study programs in Mainz or abroad can be recognized if there is no
significant difference with respect to corresponding achievements within the MSc in physics in Mainz.
Within the recognition achievements can be combined or split in order to match the formal criteria on
e.g. needed credict points. Each case will be looked at individually and discussed with the applicant.
The corresponding recognition form to be filled out can be found here:
http://www.studium.fb08.uni-mainz.de/downloadcenter-physik/
13
2 Important Remarks
2.4 Remarks Concerning Research Phase
1. The research phase of the Master of Science in Physics programme consists of the three modules
“Specialization” (3 months, seminar talk without grades, 15 CP), “Methodological Knowledge”
(3 months, graded either through a seminar talk or a portfolio of documents representing the
work, 15 CP) and “Master’s Thesis” (6 months including a colloquium, 30 CP). These three
modules are considered as one unit and have to be completed consecutively within one year.
2. Students are allowed to enrol into the research phase if at most one of the required courses to
reach the 60 CP is missing (e.g. a Topical Course, a Focus Course or one of the two seminars).
The start of the master thesis is 6 month after the start of the research phase. At this point in
time, at least 60 of the required credit points (§6 subparagraph 2) have to be collected.
3. As the module “Specialization” is part of the preparation towards the master’s thesis, it cannot
be taken in parallel to the 6 months long Master’s Thesis module.
4. A change of the master’s thesis advisor can only happen once. This change has to be done before
the start of the module “Methodological Knowledge”.
5. The enrolment into the research phase is processed by the “Studienbüro Physik” with the help
of this form1. The “Studienbüro” will then take care of the actual enrolment inside Jogustine.
6. A master’s thesis outside the department of physics, mathematics and computer science (08) has
to be requested (please submit an informal request at the Studienbüro). The primary evaluation
of an external master’s thesis has to be provided by a professor of the department 08.
7. The end date of the master’s thesis may be extended by at most 4 weeks by the chair of the
examination committee. For this to happen, the candidate has to submit a justified written
request to the “Studienbüro” which has also to be signed by the corresponding thesis advisor.
8. The “Studienbüro” will enter the mark for the module “Methodological Knowledge” into the
system at the end of the one-year research phase. The thesis advisors are requested to submit
the mark of the module “Methodological Knowledge” when handing in the primary evaluation
to the “Studienbüro”.
9. In case the master’s thesis is failed, the module can be repeated once. The new subject of the mas-
ter thesis has to be sufficiently close to the subjects of the “Specialization” and “Methodological
Knowledge” modules.
1https://www.blogs.uni-mainz.de/fb08-studium/files/2017/08/PHY_MSc_Anmeldeformular_2-seitig.pdf
14
2.5 Examples for Module Sequence
2.5 Examples for Module Sequence
The following tables show examples for the module sequence for students starting in the winter or in
the summer term:
Example of Module Sequence (Nuclear Chemistry as subsidiary subject)
Term
4
Master Thesis
Thesis 29 LP
Coloquium 1 LP 30 LP
3
Specialization
15
LP
Methodological Knowledge
15
LP 30 LP
2
Topical Course
3V + 1Ü
6 LP
Advanced Laboratory
Part 2 (4P) 5 LP
Part 1 (4P) 5 LP
Topical Course
3V + 1Ü
6 LP
Seminars
Seminar 2
(2S)
4 LP
Seminar 1
(2S)
4 LP
Subsidiary Subject
e.g. Chemistry
Laboratory
(5P)
5 LP
Nuclear Chemistry
(2V+1Ü) 4 LP
31 LP
23 SWS
1
Experimental Physics
3V + 1Ü
6 LP
Theoretical Physics
4V + 2Ü
9 LP
Topical Course
3V + 1Ü
6 LP 29 LP
19 SWS
120 LP
Example of Module Sequence (no subsidiary subject)
Term
4
Master Thesis
Thesis 29 LP
Coloquium 1 LP 30 LP
3
Specialization
15
LP
Methodological Knowledge
15
LP 30 LP
2
Focus Course
1.5V + 0.5Ü
3 LP
Advanced Laboratory
Part 2 (4P) 5 LP
Part 1 (4P) 5 LP
Topical Course
3V + 1Ü
6 LP
Seminars
Seminar 2
(2S)
4 LP
Seminar 1
(2S)
4 LP
Advanced Theoretical
Physics
4V + 2Ü
9 LP
32 LP
22 SWS
1
Experimental Physics
3V + 1Ü
6 LP
Theoretical Physics
4V + 2Ü
9 LP
Topical Course
3V + 1Ü
6 LP
Focus Course
1.5V + 0.5Ü
3 LP 28 LP
18 SWS
120 LP
15
2 Important Remarks
Example of Module Sequence (more topical courses)
Term
4
Master Thesis
Thesis 29 LP
Coloquium 1 LP 30 LP
3
Specialization
15
LP
Methodological Knowledge
15
LP 30 LP
2
Focus Course
1.5V + 0.5Ü
3 LP
Advanced Laboratory
Part 2 (4P) 5 LP
Part 1 (4P) 5 LP
Topical Course
3V + 1Ü
6 LP
Seminars
Seminar 2
(2S)
4 LP
Seminar 1
(2S)
4 LP
Topical Course
3V + 1Ü
6 LP 29 LP
20 SWS
1
Experimental Physics
3V + 1Ü
6 LP
Theoretical Physics
4V + 2Ü
9 LP
Topical Course
3V + 1Ü
6 LP
Topical Course
3V + 1Ü
6 LP 31 LP
20 SWS
120 LP
Example of Module Sequence (one Focus Course during research phase )
Term
4
Master Thesis
Thesis 29 LP
Coloquium 1 LP 30 LP
3
Specialization
15
LP
Focus Course
1.5V + 0.5Ü
3 LP
Methodological Knowledge
15
LP
33 LP
2 SWS
2
Focus Course
1.5V + 0.5Ü
3 LP
Advanced Laboratory
Part 2 (4P) 5 LP
Part 1 (4P) 5 LP
Seminars
Seminar 2
(2S)
4 LP
Seminar 1
(2S)
4 LP
Advanced Theoretical
Physics
4V + 2Ü
9 LP
26 LP
18 SWS
1
Experimental Physics
3V + 1Ü
6 LP
Theoretical Physics
4V + 2Ü
9 LP
Topical Course
3V + 1Ü
6 LP
Topical Course
3V + 1Ü
6 LP 31 LP
20 SWS
120 LP
16
3 Detailed description of the Modules and Courses
3.1 Experimental Physics
Modul Ex-A Atom- und Quantenphysik 08.128.22071
Atomic and Quantum Physics
Compulsory or elective module P
Credit points and workload 7 LP = 210 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Vorlesung mit Übung „Atom- und
Quantenphysik“ 4-6 P 147 h 7 LP
Vorlesung V 4 SWS
Übung Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation gemäß §5 Abs. 3
Course achievements Erfolgreiche Bearbeitung von Übungsaufgaben und/oder Projekten
Module examination Klausur (Umfang 120 Min., Bearbeitungszeit maximal 180 Min.) oder
mündliche Prüfung (30 Min.)
Qualification and program goals / Competences
Die Studierenden sollen
•grundlegende Kenntnisse der Physik der Atome, Moleküle und Quanten erlangen,
•Aufbau von Atomen und einfachen Molekülen sowie deren Wechselwirkung mit elektromagentischen Feldern,
•quantenmechanisches Wissen an praktischen Beispielen einsetzen und vertiefen sowie
•Einblick erhalten in moderne Verfahren der Atomphysik, Spektroskopie und Manipulation von Quantensyste-
men
Course content
Tiefgehende Einführung in die experimentelle Quantenphysik von Atomen und Molekülen und deren Wechselwir-
kung mit Licht, sowie deren praktische Anwendung. Die Veranstaltung umfasst die folgenden Themen:
•Relativistische Effekte und Dirac Gleichung beim Wasserstoffatom, Einflüsse des Kerns, Atome in äußeren
Feldern
•Atome in elektromagnetischen Feldern – Licht-Materie-Wechselwirkung, kohärente und spontane Emissions-
prozesse
•Mehrelektronensysteme, Grundlagen der Laserspektroskopie
•Ausgewählte Anwendungen: z.B. Manipulation und Fallen für neutrale Atome, Moleküle und Ionen, Ramsey-
Methode, Atomuhr, Laser
•Grundlagen der Molekülphysik
Literature
•Physics of Atoms and Molecules, B.H. Bransden & C.J. Joachain
•Atom- und Quantenphysik, H. Haken & H.C. Wolf
•Experimentalphysik 3: Atome, Moleküle und Festkörper, Demtröder
•speziellere Fachliteratur
Entry requirements
17
3 Detailed description of the Modules and Courses
Modul Ex-A Atom- und Quantenphysik 08.128.22071
Atomic and Quantum Physics
Recommended prerequisites
Language Unterrichtssprache Englisch
Prüfungssprache Deutsch oder Englisch
Weighting of the achievement in the overall grade 7/180
Module frequency Jedes Semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. P. Windpassinger
Applicable to the following programs B.Sc. Physik, B.Sc. Angewandte Physik
m.S.I., M.Sc. Physik, M.Sc. Mathematik
Miscellaneous
Sprache: Deutsch oder – auf Wunsch – Eng-
lisch Wird die Vorlesung in englischer Spra-
che gehalten, so muss für B.Sc. Studierence
die Möglichkeit bestehen, die Prüfungsleis-
tungen in deutscher Sprache durchzuführen.
Konkret müssen Klausuren auch in deutscher
Sprache zur Verfügung gestellt werden und
Übungsaufgaben können auch in deutscher
Sprache eingereicht werden.
18
3.1 Experimental Physics
Modul Ex-B Kern- Teilchen- und Astrophysik 08.128.22072
Nuclear, Particle and Astrophysics
Compulsory or elective module P
Credit points and workload 7 LP = 210 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Vorlesung mit Übung
„Kern-, Teilchen- und Astrophysik“ 4-6 P 147 h 7 LP
Vorlesung V 4 SWS
Übung Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation gemäß §5 Abs. 3
Course achievements Erfolgreiche Bearbeitung von Übungsaufgaben und/oder Projekten
Module examination Klausur (Umfang 120 Min., Bearbeitungszeit maximal 180 Min.) oder
mündliche Prüfung (30 Min.)
Qualification and program goals / Competences
Die Studierenden erhalten einen Überblick über das gesamte Gebiet der Kern- und Teilchenphysik und eine
Einführung in den Gebiete der Astrophysik und Kosmologie. Nach erfolgreicher Teilnahme an diesem Modul sind
die Studierenden in die Lage:
•die Funktionsweise der in Experimenten eingesetzten Beschleuniger und Detektorsysteme zu verstehen;
•mit theoretischen Konzepten umzugehen, die in der Kern- und Teilchenphysik wichtig sind
•die drei fundamentalen Wechselwirkungen der Teilchenphysik und ihre phänomenologischen Konsequenzen zu
kennen und die entsprechenden Standardexperimente und theoretischen Modelle wiedergeben zu können
•kennen die wichtigsten Phänomene und Anwendungen der Kernphysik und können die Ideen der Kernphysik
wiedergeben zu können
•die Bedeutung der Kern- und Teilchenphysik für die Astrophysik und Kosmologie nachvollziehen zu können
Nach erfolgreichem Abschluss dieses Moduls sind die Studierenden in der Lage, an weiterführenden und speziali-
sierenden Modulen in diesem Bereich teilzunehmen.
Course content
Die Veranstaltung umfasst die folgenden Themen:
•Einführung: Natürliche Einheiten, Symmetrien und Erhaltungssätze, relativistische Kinematik, Teilchenbe-
schleuniger und Teilchendetektoren.
•Theoretische Konzepte: Symmetrien, Streuung und Wirkungsquerschnitte, Klein-Gordon- und Dirac-Gleichung,
Feynman-Diagramme.
•Kernphysik: Kernmassen und -radien, Formfaktoren, einfache Kernmodelle, Schalenmodell, α-, β- und γ-Zerfall,
Kernfusion in Sternen, technische Anwendungen
•Teilchenphysik: gebundene Zustände (Quarkonia, Mesonen, Baryonen), inelastische und tiefinelastische Streu-
reaktionen, Partonenmodell, Quark-Modell
•Fundamentale Wechselwirkungen: starke WW, e+e−Reaktionen, schwache WW und elektroschwache Verein-
heitlichung, Paritätsverletzung, CP-Verletzung, W- und Z-Bosonen, CKM-Mischung, Higgs-Mechanismus, das
Standardmodell der Teilchenphysik; Neutrino Oszillationen.
•Einführung in die Kosmologie: Frühes Universum, Friedmann Gleichungen, Kosmologische Beobachtungen,
Dunkle Materie
19
3 Detailed description of the Modules and Courses
Modul Ex-B Kern- Teilchen- und Astrophysik 08.128.22072
Nuclear, Particle and Astrophysics
Literature
•Demtröder, Experimentalphysik 4, Springer Verlag
•Povh, Rith, Scholz TTeilchen und Kerne“ , Springer Verlag
•D. H. Perkins, Introduction to High Energy Physics, Cambridge UP
•D. Griffiths, Introduction to Elementary Particles, Wiley-VCH
•A. Liddle An introduction to modern cosmology", Wiley-VCH
•Diverse andere Lehrbücher zur Kern- und Teilchenphysik
Entry requirements
Recommended prerequisites
Language Unterrichtssprache Englisch
Prüfungssprache Deutsch oder Englisch
Weighting of the achievement in the overall grade 7/150
Module frequency Jedes Semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. S. Tapprogge, Prof. Dr. M. Ostrick
Applicable to the following programs B.Sc. Physik, B.Sc. Angewandte Physik
m.S.I., M.Sc. Physik, M.Sc. Mathematik
Miscellaneous
Sprache: Deutsch oder – auf Wunsch – Eng-
lisch Wird die Vorlesung in englischer Spra-
che gehalten, so muss für B.Sc. Studierence
die Möglichkeit bestehen, die Prüfungsleis-
tungen in deutscher Sprache durchzuführen.
Konkret müssen Klausuren auch in deutscher
Sprache zur Verfügung gestellt werden und
Übungsaufgaben können auch in deutscher
Sprache eingereicht werden.
20
3.1 Experimental Physics
Modul Ex-C Physik kondensierter Materie 08.128.22073
Condensed Matter Physics
Compulsory or elective module P
Credit points and workload 7 LP = 210 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Vorlesung mit Übung „Physik konden-
sierter Materie“ 4-6 P 147 h 7 LP
Vorlesung V 4 SWS
Übung Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation gemäß §5 Abs. 3
Course achievements Erfolgreiche Bearbeitung von Übungsaufgaben und/oder Projekten
Module examination Klausur (Umfang 120 Min., Bearbeitungszeit maximal 180 Min.) oder
mündliche Prüfung (30 Min.)
Qualification and program goals / Competences
Nach Abschluss des Moduls „Physik der kondensierten Materie“ sollen die Studierenden erwerben:
•Kenntnisse über Grundlagen und Phänomene der Festkörperphysik und ausgewählter Spezialgebiete (Halblei-
terphysik, Tieftemperaturphysik, Magnetismus,..),
•Kenntnisse über die elementaren Anregungen, bis hin zur Funktion in komplexen Zusammenhängen,
•Fertigkeiten zur Anwendung grundlegender Methoden und Prinzipien der Beschreibung von Festkörperphä-
nomenen (Wechselwirkungen, Symmetrien, reziproker Raum, Modenspektren, Beschreibung der Störung der
periodischen Gitterstruktur, makroskopische Quantenphänomene),
•wesentliche Elemente und Konzepte der Quantenmechanik, und Statistische Mechanik, um die Vielkörpernatur
der Erscheinungen zu beschreiben.
Die Vorlesung legt die Grundlagen zu einem umfassenden Verständnis materialwissenschaftlicher Fragen und zur
Erklärung der Effekte, auf denen zahllose technische Anwendungen der modernen Physik kondensierter Materie
beruhen.
Course content
•Inter-Atomare Wechselwirkungen, Phasenverhalten
•Elektronen im Festkörper: Ein-Elektronen-Modelle, freies Elektronengas, Bändermodell, Metalle, Halbleiter,
thermische Eigenschaften
•Gitterschwingungen, Anharmonische Effekte, Wärmeleitung
•Korrelierte Elektronensysteme: Magnetismus, Supraleitung, Topologische Systeme
•Anwendungen: Spektroskopie, Nichtgleichgewicht Phänomene, Spinphysik, Polymerphysik
•Einleitung in die Physik weicher Materie mit Grundlagen der Kontinuumsmechanik
Literature
•C. Kittel: Einführung in die Festkörperphysik
•H. Ibach, H. Lüth: Festkörperphysik
•N. W. Ashcroft, N. D. Mermin: Festkörperphysik
•R. Gross, A. Marx: Festkörperphysik
Entry requirements
Recommended prerequisites
Language Unterrichtssprache Englisch
Prüfungssprache Deutsch oder Englisch
Weighting of the achievement in the overall grade 7/180
Module frequency Jedes Semester
Reasons for compulsory attendance
21
3 Detailed description of the Modules and Courses
Modul Ex-C Physik kondensierter Materie 08.128.22073
Condensed Matter Physics
Persons responsible for this module Prof. Dr. J. Demsar
Applicable to the following programs
B.Sc. Physik, B.Sc. Angewandte Physik
m.S.I., M.Sc. Physik, B.Sc. Angewandte Phy-
sik, M.Sc. Mathematik
Miscellaneous
Sprache: Deutsch oder – auf Wunsch – Eng-
lisch. Wird die Vorlesung in englischer Spra-
che gehalten, so muss für B.Sc. Studierence
die Möglichkeit bestehen, die Prüfungsleis-
tungen in deutscher Sprache durchzuführen.
Konkret müssen Klausuren auch in deutscher
Sprache zur Verfügung gestellt werden und
Übungsaufgaben können auch in deutscher
Sprache eingereicht werden.
22
3.2 Theoretical Physics
3.2 Theoretical Physics
Modul Th5 Advanced Quantum Mechanics 08.128.151
Compulsory or elective module W
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises
“Advanced Quantum Mechanics” 1 P 207 9 LP
Lecture V 4 SWS
Excercises Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.) or oral examination (30 Min.)
Qualification and program goals / Competences
The aim of this course is to get the students acquainted with advanced methods of quantum mechanics. In this
context, basic concepts of classical and relativistic quantum field theory are discussed, thereby guiding students
towards current research topics. During one third of the course, the lecturers will focus on selected topics of their
choice.
Course content
•Scattering theory (high priority optional topic): Lippmann-Schwinger equation, optical theorem, Born appro-
ximation, scattering matrix, partial waves.
•Many-particle systems: Fock space and ladder operators for bosons and fermions, canonical formalism, canonic
commutator relations, Hartree-Fock approximation
•Interaction of non-relativstic matter with the radiation field (ideally, if time permits): Emission and absorption
of photons by atoms, scattering of photons by atoms.
•Relativistic quantum field theory: Klein-Gordon equation and Dirac equation, associated Lagrange densities.
Ideally, if time permits: Interaction with the radiation field.
•Additional in-depth topics may vary according to the lecturer. Possible topics are:
–Introduction to the path integral formalism.
–Examples from many-particle physics, e.g., BCS theory of superconductivity.
–Quantum optics.
–Advanced group theory (Poincaré group, representation theory, Wigner theorem, central charges, symmetry
breaking).
–Weyl equation and Weyl spinors.
–Relativistic treatment of the hydrogen atom.
–Non-relativistic limit of the relativistic theory, Foldy-Wouthuysen transformation, relativistic corrections,
origin of spin-orbit coupling.
Literature
Text books on theoretical physics, e.g., F. Schwabl, Quantenmechanik für Fortgeschrittene; W. Nolting, Theo-
retische Physik 7; J.J. Sakurai, Advanced Quantum Mechanics; J.D. Bjorken und S.D. Drell, Relativistische
Quantenmechanik; S. Weinberg: Relativistische Quantenmechanik; M. Stone, The physics of quantum fields.
Entry requirements
Recommended prerequisites Theoretical physics 1-3
Language Course language English or German
Examination language English or German
Weighting of the achievement in the overall grade 9/180 (BSc) or 9/120 (MSc)
Module frequency Every semester
23
3 Detailed description of the Modules and Courses
Modul Th5 Advanced Quantum Mechanics 08.128.151
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. S. Weinzierl
Applicable to the following programs B.Sc. Physik, M.Sc. Physik, B.Sc. Mathema-
tik, M.Sc. Mathematik
Miscellaneous Course language: German or English on re-
quest
24
3.2 Theoretical Physics
Modul 165 Relativistic Quantum Field Theory 08.128.165
Compulsory or elective module WP
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Relativistic
Quantum Field Theory” (WP) 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.) or oral examination (30 Min.)
Qualification and program goals / Competences
Relativistic quantum field theory constitutes the foundation of the Standard Model of particle physics and is
essential for an understanding of modern particle and hadron physics. This lecture is aimed at theoretical interested
students who would like to make a start in the field of particle and hadron physics. The lecture provides the basic
tools of relativistic quantum field theory. Subsequent specialized lectures may build on these basic tools.
Course content
Path integrals, Grassmann numbers, quantization of the Klein-Gordon field, Dirac, Maxwell and interacting fields,
Wick’s theorem, Feynman rules, cross sections, S-matrix, LSZ-reduction formula, basics and outlook of non-abelian
gauge theories and spontaneous symmetry breaking.
Literature
Text books on theoretical physics, e.g.
•M.E. Peskin und D.V. Schroeder, An Introduction to Quantum Field Theory.
•M.D. Schwartz, Quantum Field Theory and the Standard Model
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 9/120
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. S. Weinzierl
Applicable to the following programs M.Sc. Physics, M.Sc. Mathematics
Miscellaneous Course language: English
25
3 Detailed description of the Modules and Courses
Modul 170 Advanced Statistical Physics 08.128.170
Compulsory or elective module WP
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Advanced Sta-
tistical Physics” (WP) 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.) or oral examination (30 Min.)
Qualification and program goals / Competences
Students will get to know advanced concepts and applications of statistical physics. They will learn central
concepts on how to describe systems and materials whose behavior is dominated by large fluctuations, such as
liquids in general, many plastics, most biomaterials, but also systems beyond the scope of natural sciences (e.g.
in finance). The focus lies on general overarching principles, such as symmetries, cooperative processes and phase
transitions, scales and scale free behavior, as well as coarse-graining. Specific examples will be selected based on
the current research topics in Mainz and will to a large extent be related to soft matter.
Course content
•Basic concepts in a statistical description of complex systems at equilibrium and non-equilibrium, linear re-
sponse and transport, stochastic processes, structure, correlations, and scattering;
•Modeling concepts, symmetries and conservation laws, coarse-graining concepts (reduction of degrees of free-
dom);
•Phase transitions, mean-field approaches, Landau theory, fluctuations and critical exponents, scale invariance
and renormalization, and (possibly) basic concepts of statistical field theory;
Other topics are selected based on the preferences of the lecturers. Possibilities are: Non-equilibrium thermody-
namics, stochastic thermodynamics, disordered systems and glasses, hydrodynamics at low Reynolds numbers,
statistical physics of complex soft matter (e.g., polymers, self assembling systems, membranes, liquid crystals,
colloidal systems, charged systems, entangled systems, biomolecules, biomaterials), as well as interdisciplinary
applications of statistical physics, e.g., in finance.
Literature
•Chaikin/Lubensky: Principles of Condensed Matter Physics,
•Plischke/Bergersen: Equilibrium Statistical Physics.
•Landau-Lifshitz: Theoretical physics V und IX.
•Goldenfeld: Lectures on phase transitions and the renormalization group.
•Paul/Baschnagel: Stochastic processes. From physics to finance.
•Risken: The Fokker-Planck equation.
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 9/120
Module frequency At least once per year
Reasons for compulsory attendance
26
3.2 Theoretical Physics
Modul 170 Advanced Statistical Physics 08.128.170
Persons responsible for this module Prof. Dr. F. Schmid
Applicable to the following programs M.Sc. Physics, M.Sc. Mathematics
Miscellaneous Course language: English
27
3 Detailed description of the Modules and Courses
Modul 175 Theoretical quantum optics and many
body physics
08.128.175
Compulsory or elective module WP
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises „ Theoretical
quantum optics and many body phy-
sics” (WP)
1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.) or oral examination (30 Min.)
Qualification and program goals / Competences
After this course, the students should amongst others:
•be able to apply advanced methods of Theoretical Quantum Physics,
•be familiar with the interpretation, examination and formulation of quantum field theories,
•have a deeper understanding of the most important phenomena and models of many-particle theory and
theoretical quantum optics
This is to create a solid basis to deal with research-related topics in the field.
Course content
The course offers a profound theoretical introduction to the overlapping fields of theoretical many particle physics,
quantum optics and solid state quantum theory. It also offers an introduction to quantum information, ultracold
gases and photonics. The strong theory-experiment interlink I this research area is supported by the possible
embedding of focused experimental guest lectures into the course.
Selection of topics:
•Introduction: 1-particle and many-body Schrödinger equation, spin and its physical consequences, fermions
and bosons, Green functions
•Quantum many-body theory: creation and annihilation operators, observables, quantum field theory, appli-
cations (interacting Fermi gas, interacting Bose gas, ultra-cold quantum gases, 4He), coherent states, path
integrals
•Quantum theory of the electromagnetic field: classical Maxwell field, Lagrange and Hamilton formalisms,
quantization of the electromagnetic field, interaction of the electromagnetic field with matter, Casimir effect,
Rayleigh and Thomson scattering, Raman effect
•Quantum optics: photon statistics, photon antibunching, coherent states, squeezed light, number states, atoms
in cavities, quantum information (cryptography, computing, teleportation)
•Methods and models of quantum optics: coherent interactions, Jaynes-Cummings model, operators, operator
identities and basis states, quantum statistics, characteristic functions, quasi-probability distributions, dissi-
pative processes, spin-boson model, master equations, dressed states.
Entry requirements
Recommended prerequisites
Knowledge at the level of the courses Theo-
retical Physics 1-5 of the Bachelor’s degree
program
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 9/120
28
3.2 Theoretical Physics
Modul 175 Theoretical quantum optics and many
body physics
08.128.175
Module frequency Annually in winter term
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. P. van Dongen, Prof. Dr. P. van
Loock
Applicable to the following programs M.Sc. Physics, M.Sc. Mathematics
Miscellaneous Course language: English
29
3 Detailed description of the Modules and Courses
Modul 180 Theoretical solid state physics 08.128.180
Compulsory or elective module WP
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Theoretical so-
lid state physics” (WP) 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.) or oral examination (30 Min.)
Qualification and program goals / Competences
Students will get acquainted with basic and advanced concepts and methods of theoretical solid state physics.
They will learn fundamentals concepts of the atomic and electronic structure theory of solids that explain the
stability of matter, how the symmetries of crystals govern many properties of matter, the dynamics and transport
of electrons in solids, the basic optical properties of solid matter, and the basic concepts behind broken symmetry
ordered states of solid matter such as magnetism and superconductivity. The class will provide the basic knowledge
to prepare students for more advanced classes in solid state theory and for conducting a master thesis in Condensed
Matter Theory or Experiment.
Course content
Basic Drude and Summerfeld theory of metals, Crystal symmetries, Reciprocal lattice, Theory of experimental
determination of crystals, Crystal binding, Phonons, Free Electron gas, Bloch’s theorem and the band structure
of solids, Methods for calculating band structure, Fermi surface, Classification of conductors and semiconductors,
Effects of electron-electron interactions, basic theory of transport and optical properties of solids, Introduction to
basic ordered phases of solids such as magnetism and superconductivity.
Literature
•Charles Kittel: Introduction to Solid State Physics, Wiley
•Michael P. Marder, Condensed Matter Physics, Wiley
•Neil W. Ashcroft and N. David Mermin: Solid State Physics, Saunders College
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 9/120
Module frequency At least once per year
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. J. Sinova
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
30
3.3 Laboratory Courses and Seminars
3.3 Laboratory Courses and Seminars
Modul 620 Advanced Laboratory M.08.128.620
Compulsory or elective module WP
Credit points and workload 10 LP = 300 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
a) Laboratory Project 1 (P) Pr 2 P 4 SWS 108 h 5 LP
b) Laboratory Project 2 (P) Pr 2 P 4 SWS 108 h 5 LP
To complete the module, the following achievements must be made:
Presence Pr
Active participation
Course achievements
Module examination Portfolio of the projects in part 1 respectively part 2
Qualification and program goals / Competences
This modul shall lead the students to advanced experimental and numerical-theoretical work in modern physics.
At the same time they should get insight in the actual reseach activities at the institute. This is realized in the
form of challenging projects in a research group of free choice and under the supervison of experienced assistants.
Compared to the bachelor advanced laboratory course there is a stronger emphasis on independent work and
actual research.
Course content
The format of these projects is quite flexible with respect to topic, implementation and timing. However it must
be approved by the course convenor. Mandatory requests are that the topic includes modern physics, the duration
does not exceed 60h of lab work, and that there is no thematic overlap neither with the bachelor thesis nor the
other project in this module.
Projects can be performed in all research groups with a focus on modern physics. Research at external institutions
(e.g. major research institutions) is possible.
Literature
Specific literature and manuals from the project organizer
Entry requirements
Recommended prerequisites
Language Course language German/English
Examination language German/English
Weighting of the achievement in the overall grade 10/120
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. W. Gradl
Applicable to the following programs M.Sc. Physics
Miscellaneous
31
3 Detailed description of the Modules and Courses
Modul 630 Seminars M.08.128.630
Compulsory or elective module WP
Credit points and workload 8 LP = 240 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
a) Seminar 1 (P) HS 1 P 2 SWS 99 h 4 LP
b) Seminar 2 (P) HS 1 P 2 SWS 99 h 4 LP
To complete the module, the following achievements must be made:
Presence HS
Active participation according to §5 subsection 3
Course achievements
Module examination The students’s presenations are graded both for seminar 1 and seminar
2
Qualification and program goals / Competences
The goal of the seminars is to learn and practice giving presentations on topical physics areas. Specifically, the
students should
•learn and practice presentation techniques and
•to discuss the physics contents.
Seminar 2 should include a deepened examination and discussion of up-to-date questions in physics research.
Course content
a) Student presentations of topics from a broad spectrum of current experimental and theoretical physics.
b) Student presentations on up-to-date topics relevant to the experimental or theoretical working groups of
the physics institutes. Usually,several subjects will be offered to choose from with focus on atomic physics,
condensed matter, nuclear and particle physics.
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English
Weighting of the achievement in the overall grade 8/120
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. W. Gradl
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
32
3.4 Topical Courses
3.4 Topical Courses
3.4.1 Condensed Matter Physics
Modul 720 Module Topical Courses: “Selected to-
pics in Condensed Matter Physics”
08.128.720
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Selected topics
in Condensed Matter Physics” (WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
Students shall be guided towards a selection of special problems in modern Condensed Matter Physics to obtain a
solid background when dealing with research related topics. Magnetism and super conductivity emerge through the
correlated dynamics of electrons in solids and provide the basis of modern electronics and information technology.
Surface Science is essential for an in depth understanding of miniaturized devices as well as for novel diagnostic
techniques. Soft Matter shows fascinating structural and dynamic properties and nurtures a rapidly developing
field of applications. Its fundamental scientific questions also related to other disciplines like biology, chemistry
and medicine. By an depth treatment of one or more of these topics, the course will provide a solid basis for
conducting a master thesis in the area of Condensed Matter Physics.
Course content
Depending on the lecturer, the course will focus on specific topics, such as magnetism, super conductivity, heavy
fermions, applied solid state physics, surface science or soft matter physics
Literature
will be provided by the lecturer
Entry requirements
Recommended prerequisites
Knowledge of experimental physics on the
level of the module Experimental Physics
“Physics of Condensed Matter”
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Each summer semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. T. Palberg, Prof. Dr. M. Kläui
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
33
3 Detailed description of the Modules and Courses
Modul AdvCM Advanced Solid State Physics 08.128.22075
Compulsory or elective module WP
Credit points and workload 6 = 180
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Advanced con-
densed matter physics” 2 (1) 138 h 6 LP
V P 3
Ü 1
To complete the module, the following achievements must be made:
Presence
Active participation
Course achievements
Module examination
Qualification and program goals / Competences
After completing the module, students will be able to:
(a) understand and interpret the experimental data obtained using various thermodynamic, transport and spec-
troscopic methods, and
(b) describe the electrical, magnetic and optical properties of different classes of materials such as metals, semi-
conductors, insulators, as well as systems with macroscopic orders, such as (anti-)ferromagnets, supercon-
ductors, multiferroics, etc.
In addition, students will become familiar with the basic classical and quantum mechanical models of solid-state
physics. The knowledge gained should form the basis for understanding the functional properties of the materials
as they are used in everyday electronics, spintronics and future quantum technologies.
Course content
•Solid state physics in a nutshell (electronic band structure, phonon dispersion, properties of me-
tals/semiconductors/insulators)
•Dielectric properties (electrodynamics, Lindhard response function, optical conductivity, Kramer-Kronig rela-
tionships, optical transitions and excitations, spectroscopy)
•Dielectrics/ferroelectrics (polarizability, displactive phase transitions, Ginzburg-Landau theory)
•Superconductivity (fundamental properties, Ginzburg-Landau theory of superconductivity, Abrikosov lattice,
microscopic BCS theory, Josephson effect + SQUID, unconventional superconductivity)
•Density wave systems (charge/spin density waves and their collective modes)
•Magnetism (Anti-/Ferromagnetism)
•Topological quantum matter (Berry phase, topological phases, skyrmions, quantum spin fluids)
•Non-equilibrium phenomena (collective mode dynamics, driven phase transitions)
Entry requirements Experimental Physics 1-3, Condensed Matter
Physics (Ex-C)
Recommended prerequisites
Language Course language English
Examination language English
Weighting of the achievement in the overall grade 6/180
Module frequency
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. J. Demsar
Applicable to the following programs B.Sc. and M.Sc. Applied Physics, MSc Phy-
sics
Miscellaneous
34
3.4 Topical Courses
Modul 721 Module Topical Courses: “ Modern Ex-
perimental Methods in Condensed Mat-
ter Physics”
08.128.721
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Modern Expe-
rimental Methods in Condensed Matter
Physics” (WP)
1 (2) P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
Students shall be guided towards both fundamental facts and special aspects of state-of-the-art experimental
methods in material science. The course will therefore present important and state of the art techniques and
approaches. Examples may include spectroscopic methods, scattering techniques, scanning probe techniques as
well as application related characterization of novel materials, sample preparation and conditioning techniques.
Dealing with one or more of such topics, the course will develop an enhanced understanding of a research related
area of expertise in Condensed Matter Physics. It will further provide a solid basis for conducting a master thesis
in Condensed Matter Physics in this or a related area.
Course content
Depending on the lecturers, the course will focus on specific topics such as spectroscopic methods, scattering
techniques, modern microscopy techniques, scanning probe techniques, synthesis strategies, sample preparation
techniques or methods for material characterization under application related conditions.
Entry requirements
Recommended prerequisites
Knowledge of Experimental Physics on the
level of the Modul Experimentalphysik “Phy-
sik kondensierter Materie”
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every winter semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. T. Palberg, Prof. Dr. M. Kläui
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
35
3 Detailed description of the Modules and Courses
Modul 722 Module Topical Courses: “ Materials
Science”
08.128.722
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Materials
Science” (WP) 1 o. 2 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
Students shall be guided towards the essential physics of Material Science that is necessary for an understanding
of processes in novel materials on the atomic and the nano-scale. Topics of interest covered by the course are, for
example, the structure and properties of functional materials, nanomaterials, fluids and soft materials, glasses,
functionalized surfaces, formation of and transitions within solids, modern methods of material science, as well
as concepts and fundamentals of novel materials including their development and application. Dealing with one
or more of such topics, the course will develop an enhanced understanding of a research related area of expertise
in Condensed Matter Physics. It will further provide a solid basis for conducting a master thesis in Condensed
Matter Physics in this or a related area.
Course content
Depending on the lecturer, the course will focus on specific topics like e.g. functional materials, nano materials,
soft matter materials, glasses, functionalized sufaces, development strategies, characterization methods, phase
transitions or materials for specific applications
Entry requirements
Recommended prerequisites
Knowledge of Experimental Physics on the
level of the Modul Experimentalphysik “Phy-
sik kondensierter Materie”
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. T. Palberg, Prof. Dr. M. Kläui
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
36
3.4 Topical Courses
Modul 7012 Module Topical Courses: “Introduction
to Advanced Materials - from soft matter
to hard matter”
08.128.7012
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Introduction
to Advanced Materials - from soft mat-
ter to hard matter” (WP)
1 (2) WP 138 h 6 LP
Lecture V 3 SWS
Excercises Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
Students will be introduced to the fundamentals of physics and chemistry of hard and soft matter. In particular,
an understanding of how the size, nanoscopic arrangement and interaction energy of the atomic, molecular and
macromolecular or colloidal building blocks determine the material properties will be achieved. Scattering is
introduced as a universal method of analysis, which is suitable for the investigation of both hard and soft matter.
For soft matter, an introduction to rheology is also given. One or more special topics are used to gain a deeper
understanding of a research-related special field of condensed matter, which provides a good basis for successfully
completing a Master’s thesis.
Course content
•Introduction to crystal structures, lattice vibrations and lattice defects.
•Introduction to soft matter including polymers
•Introduction to scattering with photons, neutrons and electrons to study crystals, polymers and magnetic
systems
•Introduction to rheology of polymers
•Introduction to magnetism
Entry requirements
Recommended prerequisites
Knowledge of Experimental Physics on the
level of the Modul Ex-C “Condensed Matter
Physics”
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every year
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Kläui
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
37
3 Detailed description of the Modules and Courses
Modul 7014 Module Topical Courses: “ Quantum
Spintronics”
08.128.7014
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Quantum
Spintronics” (WP) 1 o. 2 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The students should be introduced to the physical fundamentals of magnetism from classical macroscopic des-
criptions to quantum mechanical single spin. In particular, an understanding of how individual electrons in the
solid lead to macroscopic magnetisation through exchange coupling is to be achieved. The dynamics of spins is
discussed classically as well as quantum mechanically and methods for measurement are explained. On the appli-
cation side, energy-saving magnetoelectronics for memory, sensing and logic are introduced and spin-based qubits
are explained. Students will understand the concepts of emergent phenomena and the transition from classical
and quantum mechanical effects in the example of spin and be able to assess the application potential. Using one
or more specific topics, students will gain a deeper understanding of a research-related special field of condensed
matter, which is a good basis for being able to successfully complete a Master’s thesis.
Course content
Single spins and resulting magnetic moments, spin ensembles and thermodynamic effects, coupling of spins, spin
dynamics, micromagnetism, spin torque effects, spin transport and magnetoresistance effects, realisation of QuBits
with spins, measurement methods for spins, applications of spin.
Entry requirements
Recommended prerequisites
Knowledge of Experimental Physics on the
level of the Module “Physik kondensierter
Materie”
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Kläui
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
38
3.4 Topical Courses
Modul 7013 Module Topical Courses: “Superconduc-
tivity”
08.128.7013
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Superconduc-
tivity” (WP) 1 o. 2 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The students should get acquainted with the physical foundations of superconductivity. In particular they should
understand how the independent individual electrons in a solid condense into a macroscopic quantum state, what
is the symmetry of the order parameter, and how the order parameter is determined. An understanding of the
transport properties of the superconducting ground state shall be achieved with respect to the possibilities of
dissipation free transport and the realization of superconducting quantum phenomena as ultrasensitive sensors
or qubits. In one or several special topics a deeper understanding of a subfield of current research in solid state
physics shall be achieved forming the foundation to successfully prepare a master thesis on these topics.
Course content
Electrons in solids, BCS-theory for Cooper pair formation and condensation in the ground state, phase transition
and transport properties Ginzburg-Landau description, type I and type II superconductors, the Josephson effect
and its applications in ultra sensitive sensors and as voltage normal, critical currents in superconductors, super-
conducting magnets, superconducting qubits, high temperature superconductivity, transport in two-dimensional
systems, related quantum effects as Quantum Hall effect.
Literature
Specialized textbooks of condensed mmatter physics, textbooks of superconductivity, Tinkham: Introduction to
Superconductivity; Kleiner+Buckel: Superconductivity, specialized materials, summer school lectures, research
papers
Entry requirements
Recommended prerequisites
Knowledge at the level of the module in expe-
rimental physics: “Physics of condensed mat-
ter”
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Generally every year
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. G. Jakob, Prof. Dr. M. Jourdan
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
39
3 Detailed description of the Modules and Courses
Modul 752 Module Topical Courses: “Nonequilibri-
um phenomena in quantum matter”
08.128.752
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Nonequilibri-
um phenomena in quantum matter”
(WP)
1 o. 2 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
This module addresses non-equilibrium phenomena in advanced solids, with focus on systems exhibiting low
temperature macroscopic quantum states like superconductivity, charge/spin density waves, ferro- and anti-
ferromagnetism. These states can be studied and manipulated by femtosecond optical pulses using the so-called
“pump-probe” approach. Femtosecond technology and spectroscopy have experienced major developments in the
recent two decades, providing means to femtosecond switching of magnetization, observations of Higgs modes
in superconductors and light-induced enhancement of superconductivity, or making molecular movies, just to
mention a few.
After introducing the general principle of the “pump-probe” spectroscopy, we will address several case studies,
where different experimental techniques (THz spectroscopy, ultrafast electron diffraction, time-resolved ARPES,
etc.) will be applied to study one of the above-mentioned macroscopic quantum states. This way we will learn
the basics of non-linear optics, the novel laser-based techniques (used both in the lab and at large-scale facilities)
and address physics of different material classes with fascinating functional properties.
The module should provide a broad overview of techniques and nonequilibrium phenomena in correlated solids,
and thus present solid grounds for M.Sc. work in several areas of research in solid state physics.
Course content
Basics of nonlinear optics & ultrafast lasers; Principles of femtosecond real-time spectroscopy and modulation
techniques; Femtosecond thermo-modulation in metals; Terahertz generation and THz time-domain spectroscopy;
Basics of superconductivity; Electrodynamics of systems with broken symmetry ground states; Dynamics of the
superconducting gap; Microwave enhancement of superconductivity; Collective (Higgs) modes in superconductors;
Basics of Charge and Spin density waves; Time-resolved photoelectron spectroscopy; Femtosecond X-ray and
electron diffraction – making molecular movies; Magnetization dynamics and switching
Literature
B.E.A. Saleh, M.C. Teich: Fundamentals of Photonics, Wiley, 1991; Kittel: Introduction to Solid State physics;
M. Dressel and G. Grüner: Electrodynamics of Solids; S. Blundell: MMagnetism in Condensed Matter"; Oxford
Master Series in Physics; M. Tinkham: Introduction to Superconductivity; G. Grüner: Density waves in solids;
selected scientific publications & reviews
Entry requirements
Recommended prerequisites
Knowledge at the level of the module in expe-
rimental physics: “Physics of condensed mat-
ter”
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Normally every third semester
40
3.4 Topical Courses
Modul 752 Module Topical Courses: “Nonequilibri-
um phenomena in quantum matter”
08.128.752
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. J. Demsar
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
41
3 Detailed description of the Modules and Courses
Modul 723 Module Topical Courses: “Introduction
to Condensed Matter Theory”
08.128.723
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Introduction
to Condensed Matter Theory” (WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
Building on the introductory courses on quantum mechanics and statistical thermodynamics, the central concepts
of the description of crystalline solids shall be discussed. Starting from lattice periodicity and crystal symmetry,
concepts like the electronic structure (electrons in a crystal field potential) and elementary excitations (phonons,
magnons, plasmons, etc.) and their consequences for the various physical properties of solids at low temperatures
are explained, thereby creating a solid basis to deal with research-related topics in the field of condensed matter
theory.
Course content
Crystal structure, symmetry, the concept rreciprocal lattice", lattice dynamics in the harmonic approximation,
relation to the elastic constants, electrons in a crystal field (Bloch wave and Wannier functions, energy bands,
etc.), basic concepts of magnetism, magnons, etc. Also, depending on the choice of the lecturer, selected advanced
topics (e.g., scattering theory of solids, electron-phonon interaction, plasmons and dielectric response, etc.) are
presented.
Entry requirements
Recommended prerequisites
Knowledge at the level of the courses Theo-
retical Physics 1-5 of the Bachelor’s degree
program
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every summer semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. P. van Dongen
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
42
3.4 Topical Courses
Modul 724 Module Topical Courses: “Selected
Chapters of Condensed Matter Theory”
08.128.724
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Selected Chap-
ters of Condensed Matter Theory”
(WP)
1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
Building on the foundations of statistical thermodynamics and/or quantum mechanics of many-body systems, the
students will be introduced to specific aspects of the theory of quantum many-particle systems ("hardcondensed
matter). Topics to be treated may include the theory of correlated fermions, modern static and dynamic pheno-
mena of magnetism, low-dimensional systems, disorder, quantum phase transitions, many-body theory and their
numerical methods, the theory of superfluidity and superconductivity, and topological quantum matter. Having
completed this course, the student should have achieved a deeper understanding and a research-level specialization
of condensed matter theory, which should form a solid foundation to successfully complete a master’s thesis in a
related field of physics.
Course content
Depending on the lecturer, the lecture may be focused on numerical methods in many-body physics, the theory
of correlated fermions, the theory of superconductivity, modern magnetism, or topological systems.
Literature
•J. P. Hansen, I. R. McDonald, Theory of Simple Liquids, Academic Press, London 2006;
•J. Yeomans, Statistical Mechanics of Phase Transitions, Clarendon Press, Oxford, 1992;
•A. Onuki, Phase Transition Dynamics, Cambridge University Press, Cambridge, 2002;
•K. Binder, W. Kob, Glassy Materials and Disordered Solids. An Introduction to Their Statistical Mechanics,
World Scientific, Singapore, 2005;
•W. Paul, J. Baschnagel, Stochastic Processes, From Physics to Finance, Springer, Berlin, 2000;
•A. Auerbach, Interacting Electrons and Quantum Magnetism, Springer (1994);
•P. Fulde, Electron Correlations in Molecules and Solids, Springer (1995);
•L. Kantorovich, Quantum Theory of the Solid State: An Introduction, Kluwer (2004);
•D.C. Mattis, The Theory of Magnetism Made Simple: An Introduction to Physical Concepts and to Some
Useful Mathematical Methods, World Scientific, 2006;
Entry requirements
Recommended prerequisites
Knowledge at the level of the courses Theo-
retical Physics 1-5 of the Bachelor’s degree
program
Language Course language English
Examination language English or German
43
3 Detailed description of the Modules and Courses
Modul 724 Module Topical Courses: “Selected
Chapters of Condensed Matter Theory”
08.128.724
Weighting of the achievement in the overall grade 6/120
Module frequency Every summer semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. P. van Dongen
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
44
3.4 Topical Courses
Modul 725 Module Topical Courses: “Theory of Soft
Matter I”
08.128.725
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Theory of Soft
Matter I” (WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The students become acquainted with the statistical description of systems with large fluctuations for the example
of various soft matter systems. A special focus lies on general principles that may be applied for different material
classes.
Course content
General concepts: Modeling, symmetry, and conservation laws, scattering laws, self similarity and scale invariance,
mean-field approaches and Landau theories, Brownian dynamics, Critical dynamics;
Structure: Polymers (random walk, self-avoiding walk, blob concept, Flory screening, Flory Huggins theory, Path
integral description of polymers, polymer field theory), Membranes (fluid, hexatic and crystalline membranes),
Landau-de Gennes theory of liquid crystals;
Dynamics: Polymers (Rouse model), hydrodynamics at low Reynolds numbers, and (possibly) active and none-
quilibrium matter.
Entry requirements
Recommended prerequisites Theory 1-4, in particular Statistical Physics
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Upon request
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. K. Kremer, Prof. Dr. F. Schmid
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
45
3 Detailed description of the Modules and Courses
Modul 745 Module Topical Courses: “Modern
Computational Techniques in Conden-
sed/Soft Matter Physics”
08.128.745
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Modern
Computational Techniques in Conden-
sed/Soft Matter Physics” (WP)
1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
Students attending the course will learn the use of advanced tools and techniques for efficiently performing
computer simulations in the field of condensed and soft matter physics, possibly including molecular biophysics.
These techniques will enable them to study phenomena like phase transitions in a variety of systems (liquids,
solids, polymer melts etc.), conformational changes, chemical reactions, non-equilibrium or driven phenomena etc.
Course content
The topics of the course will be selected according to the docent and can include free energy calculations, enhanced
sampling techniques, simulation of rare events, critical phenomena, non-equilibrium dynamics, coarse-graining,
density functional theory, force-field optimization, polarizable force fields, long range interactions, etc.
Literature
To be announced in class
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency At least once per year
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. F. Schmid
Applicable to the following programs M.Sc. Physics, Master “Computational
Sciences” with focus on physics
Miscellaneous Course language: English
46
3.4 Topical Courses
Modul 801 Module Topical Courses: “Computer Si-
mulations in Statistical Physics”
08.128.801
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Computer Si-
mulations in Statistical Physics” (WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
Students will learn to describe complex physical problems in terms of simple models, to translate these into al-
gorithms, and to implement the algorithms correctly and in an efficient way on modern computer architectures.
They will learn to appreciate the importance of computer simulations in their interaction with theory and expe-
riment.
Course content
Molecular dynamics simulations, symplectic integrators, Markov chain Monte Carlos, random number generators,
analysis of time series, finite size effects and simulations in different thermodynamic ensembles.
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every winter semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. F. Schmid
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
47
3 Detailed description of the Modules and Courses
Modul 7010 Module Topical Courses: “Soft Materials
at Interfaces”
08.128.7010
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Soft Materials
at Interfaces” (WP) 1 o. 2 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The course gives an introduction to the physical principles to understand the structure and dynamics of soft
condensed matter adjacent to solid, liquid, and vapor interfaces. Soft matter interfaces are ubiquitous in life and
technology, see for example, OLED displays on smartphones, soap bubbles, many biological tissues.
Particular emphasis is given to the links connecting intermolecular forces with molecular scale structure and
physical materials properties. The course further introduces the experimental techniques required to study soft
matter interfaces on the relevant time and length scales. Focus is set to scattering and scanning probe techniques,
providing complementary information in real and reciprocal space.
The course will enable the students to understand numerous physical phenomena surrounding us in everyday live
while also providing them with the basic knowledge for improving the performance of modern soft materials for
specific applications. Examples help to develop a deeper understanding and to explore links to other branches of
physics.
Course content
Topics may vary depending on the preferences of the lecturers. Typical topics are
•Thermodynamics of interfaces
•Surface tension
•Self-organization of soft matter thin films
•Charged solid/liquid interfaces and Helmholtz double layer
•Interfacial forces and colloidal stability
•Interface induced phase transitions
•Adsorption and wetting
•Surfactants and Emulsions
•Interfacial freezing and premelting
•Liquids in nanoporous materials
•X-ray scattering and spectroscopy
•Scanning probe techniques and force measurements
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Annually
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. Hans-Jürgen Butt, Prof. Dr. Tho-
mas Palberg, Prof. Dr. F. Schmid
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
48
3.4 Topical Courses
Modul 7010 Module Topical Courses: “Soft Materials
at Interfaces”
08.128.7010
Miscellaneous Course language: English
49
3 Detailed description of the Modules and Courses
Modul 753 Module Topical Courses: “Biophysics” 08.128.753
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Biophysics”
(WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The course gives an introduction to phenomena in biological matter using concepts from theoretical physics in
order to expose and understand common physical principles. Students will learn about the elementary molecular
components of a cell, as well as the interactions of these components and the formation of hierarchical functional
structures. The course will enable students to understand and approach phenomena in biological systems from
a physics perspective. Particular attention is given to the application of established concepts from soft matter
physics and their application to living matter.
Course content
There will be an introduction to living matter (tissue, bacteria, cells, etc.) and its organization, as well as the
molecular players (proteins, polymers, enzymes). Further topics may vary depending on the preferences of the
lecturers. Typical topics include:
•Stochastic dynamics, diffusion, and single molecule dynamics
•Basics of non-equilibrium thermodynamics and information theory
•Physical limits to sensing
•Biochemical networks and criticality
•Mechanochemical coupling, molecular motors and force generation
•Collective behavior and phase behavior
•Self-organization and structure formation
•X-ray scattering and the structure of proteins
•Membranes and their theoretical description
Entry requirements
Recommended prerequisites
A working knowledge of statistical physics
(Theoretical Physics 4) is recommended
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency irregular
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. Thomas Speck, Prof. Dr. Friederike
Schmid
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
50
3.4 Topical Courses
Modul 754 Module Topical Courses: “Advanced
theoretical solid state physics”
08.128.754
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Advanced
theoretical solid state physics” (WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
Students shall get acquainted with basic and advanced concepts and methods of theoretical solid state physics.
They will learn fundamentals concepts of electronic structure theory that explain the stability of matter, of sym-
metries that govern many structural properties of matter, of transport mechanisms, and of the role of excitations
and defects for many material properties in solid matter. The class will provide basic knowledge to prepare them
for more advanced classes in solid state theory and for conducting a master thesis in Condensed Matter Theory
or Experiment.
Course content
Crystal symmetries, Reciprocal lattice, Phonons, Electron gas, Band structure, Methods for calculating Band
Structure, Fermi surface, Conductors and Semiconductors, Quasiparticles concepts, Defects and Disordered sys-
tems, Transport, Optical properties, Magnetism, Superconductivity
Entry requirements
Recommended prerequisites
Quantum mechanics, Statistical Physics
Knowledge of condensed matter at the level
of the class “Physics of condensed matter”
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Each summer semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. J. Sinova
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
51
3 Detailed description of the Modules and Courses
Modul 800 Module Topical Courses: “Theory of Soft
Matter II”
08.128.800
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Theory of Soft
Matter II” (WP) 2 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (90-180 Min.) or oral examination (30 Min.)
Qualification and program goals / Competences
The students get acquainted with the statistical description of systems with large fluctuations, given the example
of different soft matter systems. Special focus lies on general principles which can be applied for different material
classes.
Course content
Topics are selected depending on the preferences of the lecturers. Possible topics are: DLVO theory, hydrodynamic
interactions in colloids and polymers, micro swimmers and active particles, Zimm model, reptation model, net-
works and rubber elasticity, structure of polyelectrolytes, viscoelasticity, materials science aspects of soft matter
systems, statistical physics of interfaces, wetting, capillary waves.
Entry requirements
Recommended prerequisites Theory 1-5, in particular Statistical Physics
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. K. Kremer, Prof. Dr. F. Schmid
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
52
3.4 Topical Courses
3.4.2 Quantum, Atomic and Neutron Physics
Modul Q-Ex-1 Module Topical Courses: “Quantum Op-
tics (Q-Ex-1)”
08.128.729
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Quantum Op-
tics” (WP), frequently joint theoretical-
experimental course
1 (2) P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The students shall be introduced to the principles of the quantized description of radiation fields. Theoretical
methods shall be discussed along with selected experiments which demonstrate effects of quantized radiation
fields.
Course content
Basic entry course to experimental quantum optics. Interdisciplinary experiment-theory course, frequently lectured
jointly by experimentalists and theorists.
Contents:
•Quantization of electromagnetic fields, quantum states of radiation fields
•correlations in the radiation field and in photon statistics
•quantized interaction of atoms with light, Jaynes-Cummings Hamiltonian
•“dressed states”
Further possible topics:
•Photon detectors
•single photon sources and entangled photons
•Bell equations, quantum mechanical correlations of entangled photon pairs
•cavity quantum electrodynamics
Literature
Textbooks on quantum optics and light-atom interaction,
•Introductory quantum optics, Gerry & Knight
•The Quantum theroy of light, Loudon
•Quantum optics, Scully & Zubairy
•Quantum optics, Walls & Milburn
•Atom photon interactions, Cohen-Tannoudji, Dupont-Roc & Grynberg
Entry requirements
Recommended prerequisites
Experimental Physics 5a “Atomic and Quan-
tum Physics”, Theoretical Physics 3 “Quan-
tum Mechanics”
53
3 Detailed description of the Modules and Courses
Modul Q-Ex-1 Module Topical Courses: “Quantum Op-
tics (Q-Ex-1)”
08.128.729
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every winter term
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. J. Walz
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
54
3.4 Topical Courses
Modul Q-Ex-2 Module Topical Courses: “Photonics (Q-
Ex-2)”
08.128.803
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Photonics”
(WP) 2 (1) P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The students shall be introduced to the advanced description of light propagation and the interaction with
matter. A deep understanding of laser spectroscopy – based on incoherent and coherent licht-matter interaction
and highly stable lasers shall be acquired; in particular the difference between coherent and incoherent processes
will be detailed. The students should learn to understand the working principle of lasers and fundamentals of
non-linear optics.
Course content
Fundamentals of experimental quantum physics. Possible topics:
•Gaussian optics and resonators
•connection between classical, semi-calssical and quantum mechanical description of light-matter interaction
•coherent light and lasers
•laser modulators, optical fibers
•short pulses and frequency comb techniques
•incoherent spectroscopy techniques (absorption, fluorescence, Doppler-free, frequency modulation)
•comparison with coherent techniques (Rabi, Ramsey, Spin-Echo)
•non-linear media, sum- and difference frequency generation, χ(2) vs. χ(3) processes,
•laser cooling
Literature
Specialized textbooks in photonics , e.g.
•Laser Spectroscopy, W. Demtröder
•Optics, Light and Lasers, D. Meschede
•Lasers, A.E. Siegman
•Fundamentals of Photonics, B. E. A. Saleh und M.C. Teich
•publications close to current research.
Entry requirements
Recommended prerequisites
Experimental physics 3 “Waves and Quan-
tum Mechanics”, Experimental Physics 5a
“Atomic and Quantum Physics”, Theoretical
Physics 3 “Quantum Mechanics”
Language Course language English
Examination language English or German
55
3 Detailed description of the Modules and Courses
Modul Q-Ex-2 Module Topical Courses: “Photonics (Q-
Ex-2)”
08.128.803
Weighting of the achievement in the overall grade 6/120
Module frequency Every summer term
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. K. Wendt, Prof. Dr. J, Walz
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
56
3.4 Topical Courses
Modul Q-Ex-3 Module Topical Courses: “Quantum In-
formation (Q-Ex-3)”
08.128.804
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Quantum In-
formation ” (WP), frequently joint
theoretical-experimental course
2 (1) P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
Based on their knowledge of atomic and quantum physics as well as quantum mechanics, the students will
study and derive the basic theoretical concepts of quantum information processing and quantum computing. On
the experimental side, concepts, experimental realizations, platforms and applications of these concepts will be
introduced involving the necessary aspects of quantum optics.
Course content
Advanced course in the field of quantum optics, atomic physics and its application to quantum information.
“Stand-alone” course, applies concepts from Quantum Optics and many boy physics. Interdisciplinary course,
frequently lectured jointly by experimentalists and theorists.
Contents:
•storage and processing to quantum information in different systems
•lead to quantum communication and computing
•entangled states, quantum jumps, quantum Zeno effect
•decoherence, macroscopical quantum superposition (“Schrödinger cat states”)
Further possible topics:
•quantum gates and algorithms
•quantum cryptography, quantum teleportation, quantum repeaters
•error correction, error prone quantum processing
•quantum simulation
•Systems: ion trap, in particular Paul trap based quantum computers, cavity QED, linear optical quantum
computers, neutral atoms in optical lattices, solid state and superconducting quantum processors.
Literature
Text books on quantum optics and quantum information processing, e.g.
•Introductory quantum optics, Gerry & Knight
•Quantum Computation and Quantum Information, Nielsen & Chuang
•Introduction to Quantum Computation and Quantum Information, Lo, Popescu & Spiller
•The Physics of Quantum Information, Bouwmeester, Ekert & Zeilinger
•Exploring the Quantum - Atoms, Cavities and Photons, Haroche & Raimond
Entry requirements
57
3 Detailed description of the Modules and Courses
Modul Q-Ex-3 Module Topical Courses: “Quantum In-
formation (Q-Ex-3)”
08.128.804
Recommended prerequisites
Experimental Physics 5a “Atomic and Quan-
tum Physics”, Theoretical Physics 3 “Quan-
tum Mechanics”
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every summer term
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. F. Schmidt-Kaler
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
58
3.4 Topical Courses
Modul Q-Ex-4 Module Topical Courses: “Precision fun-
damental physics (Q-Ex-4)”
08.128.805
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Precision fun-
damental physics” (WP) 1 (2) P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
Current dedicated measurements have reached fascinating levels of experimental precision and can explore fun-
damental questions of physics and cosmology. These include: fundamental symmetries of physics, precision mea-
surements in neutron decay, tests of the weak interaction, tests of CPT invariance, precision measurements of
fundamental constants, and modern experiments in gravitation. The students shall be introduced to problems of
modern atomic physics, quantum physics, neutron physics, and cosmology. The students shall profoundly deal
with these topics, close to current research.
Course content
Discrete symmetries and fundamental interactions in physics
•tests of QED and CP violation, CPT-invariance, time reversal symmetry
•weak interaction, matter/ antimatter asymmetry, EDM
•variation of fundamental constants tests of the equivalence principle, Newton’s gravitation law at short distan-
ces
Methods
•Atoms, neutrons, protons, antimatter, penning traps, mass spectrometry
Neutron Physics
•the neutron as probe – structure analysis of matter, properties of the neutron and measurements, interaction
with matter, neutron sources, detectors, quantum effects in neutron optics
Literature
•Textbooks in atomics physics
•proceedings of summer-schools
•publications close to current research.
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every winter term
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. J. Walz
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
59
3 Detailed description of the Modules and Courses
3.4.3 Nuclear and Particle Physics
Modul 730 Module Topical Courses: “Statistics, Da-
ta Analysis and Simulation”
08.128.730
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Statistics, Da-
ta Analysis and Simulation” (WP) 2 (1) WP 138 h 6 LP
Lecture V 3 SWS
Excercises Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The module provides an overview of the statistical methods to analyze data and offers an introduction to Monte
Carlo techniques. While the methods are often introduced with the help of examples taken from the areas of
particle, hadronic and nuclear physics, we recommend the module also to students specializing in other fields.
The goal of the course is to provide a solid basis that helps to successfully complete a master’s thesis in a related
area of physics.
Course content
The following areas shall be covered:
•Probability distributions and the statistical description of data;
•error propagations and the estimation of parameters;
•significance levels and decisions on hypotheses;
•Monte Carlo methods, as well as
•Statistical analysis methods.
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every summer semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Schott
Applicable to the following programs B.Sc. and M.Sc. Applied physics, M.Sc. Phy-
sics
Miscellaneous
60
3.4 Topical Courses
Modul 731 Module Topical Courses: “Particle De-
tectors”
08.128.731
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Particle Detec-
tors” (WP) 1 (2) P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The module provides an overview of the detection, read-out and analysis techniques used in particle, hadron,
nuclear, and astroparticle physics. The goal is to provide a solid basis for the successful completion of a master’s
thesis. Cross disciplinary aspects (solid state physics, electronics, mathematics, and computer science) play im-
portant roles. Therefore the course is also suitable to students that focus on other areas of physics.
Course content
The following subjects shall be covered:
•Particle sources and accelerators;
•Detection methods for charged and neutral radiation;
•Data acquisition;
•Particle detectors to measure time, energy, momentum and particle type;
•Applications in complex detector systems.
Literature
•K. Kleinknecht, Detectors for particle radiation
•C. Grupen, B. Shwartz, Particle Detectors
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every winter semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Schott
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
61
3 Detailed description of the Modules and Courses
Modul 732 Module Topical Courses: “Cosmology
and General Relativity”
08.128.732
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Cosmology
and General Relativity” (WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The lectures’ program goal is to provide a basic understanding of the theory of General Relativity as well as of
the current concepts and phenomena of cosmology.
Course content
General coordinate transformations, differential geometry, Einstein equation, Schwarzschild metric, black holes,
Friedmann-Robertson-Walker cosmology, big-bang nucleosynthesis, cosmic microwave background, structure de-
velopment in the early universe, dark matter and dark energy.
Literature
e.g. Carroll, Wald, Kolb & Turner, Dodelson
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Neubert
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
62
3.4 Topical Courses
Modul 733 Module Topical Courses: “Symmetries in
Physics”
08.128.733
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Symmetries in
Physics” (WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The lectures’ program goal is to provide a basic understanding of group theory and its’ applications in physics.
Course content
Group theory, representations, unitary symmetries, Lie groups, applications and exercises in particle and nuclear
physics.
Literature
e.g. Georgi, Tung
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Neubert
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
63
3 Detailed description of the Modules and Courses
Modul 734 Module Topical Courses: “Modern Me-
thods in Theoretical High Energy, Par-
ticle and Nuclear Physics”
08.128.734
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Modern Me-
thods in Theoretical High Energy, Par-
ticle and Nuclear Physics” (WP)
1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The lectures’ program goal is to provide a basic understanding of a topic related to current research in the field
of high energy, particle and nuclear physics. An additional goal is to teach the methods which are required for
the masters’s thesis.
Course content
Concerning to the lecturer the focus is put on a current scientifical topic from the following research areas: electro-
weak and strong interactions, lattice gauge theory, effective field theories, mathematical aspects of perturbation
theory, functional integration in quantum mechanics und quantum field theory, concepts of model building beyond
the standard model (e.g. supersymmetry, string theory) and others. Lectures of this module are offered by dif-
ferent lecturers and topics can change every semester. In this case a student can subscribe to this module more
than once and the module will not be counted as identical.
Literature
various textbooks, publications close to science
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Neubert, Prof. Dr. H. Wittig
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
64
3.4 Topical Courses
Modul 735 Module Topical Courses:“Accelerator
Physics”
08.128.735
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Accelerator
Physics” (WP) 1 (2) P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The purpose of the lecture is to provide an understanding of the underlying physical principles of modern particle
accelerators and radiation sources. This concerns in particular the layout of pivotal components such as magnetic
structures and radiofrequency-systems. Another objective is to teach the mathematical framework with respect
to analytical and numerical methods. Such knowledge will form a suitable basis for doing a master’s thesis within
the accelerator physics groups at Mainz university.
Course content
Linear and non linear beam-dynamics, in conjunction with properties of linear and recirculating accelerators.
Building blocks of beam transport systems, e.g. normal und superconducting magnets. Radiofrequency systems for
charged particle acceleration, including superconducting systems. Introduction to superconductivity. Introduction
to radiation physics (Synchrotron-radiation), Collective effects, e.g. free electron laser. Recent developments such
as energy recovery linacs.
Literature
•H. Wiedemann, Particle Accelerator Physics Bd. 1&2
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every winter semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. K. Aulenbacher
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
65
3 Detailed description of the Modules and Courses
Modul 737 Module Topical Courses: “Astroparticle
Physics”
08.128.737
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Astroparticle
Physics” (WP) 2 (1) P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The module provides an overview of cosmology and astroparticle physics and of topical research themes. It provides
essential knowledge to successfully complete a master’s thesis in a related subject area.
Course content
The main themes of the course relate to:
•Cosmology and the evolution of the Universe
•Dark matter and
•Cosmic radiation of charged particles, neutrinos, and gammas as well as gravitational waves.
The subject “cosmology and evolution of the universe“ covers cosmological models and parameters, cosmological
distances and related measurements, the matter/antimatter problem, the synthesis of light elements, the mi-
crowave background radiation, structure formation, the formation, classification, development of galaxies, active
galactic nuclei and galaxy clusters, as well as the formation, energy budget, development, and final stages of stars,
including the related nucleosynthesis. The theme “dark mattercovers the evidence, as well as direct and indirect
searches performed to detect viable particle candidates. Keywords important for the chapter on “cosmic rays”
are: sources, composition, propagation, and detection of charged cosmic radiation, sources and detection of resol-
ved and diffuse gamma-ray sources, determination of neutrino properties (oscillations, direct mass measurement,
neutrino-less double beta decay), sources and detection of terrestrial and astrophysical neutrinos, the theory and
prospective sources of gravitational waves, as well as their indirect and direct detection.
Literature
•A. Liddle, An introduction to modern cosmology
•P. Schneider, Extragalaktische Astronomie und Kosmologie
•C. Grupen, Astroteilchenphysik
•D. Perkins, Particle Astrophysics
Entry requirements
Recommended prerequisites
Knowledge equivalent to module Experimen-
tal Physics 5b “Nuclear and Particle Physics”
of the Bachelor course
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every summer semester
Reasons for compulsory attendance
66
3.4 Topical Courses
Modul 737 Module Topical Courses: “Astroparticle
Physics”
08.128.737
Persons responsible for this module Prof. Dr. U. Oberlack
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
67
3 Detailed description of the Modules and Courses
Modul 738 Module Topical Courses: “Particle Phy-
sics”
08.128.738
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Particle Phy-
sics” (WP) 1 o. 2 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The module is intended to deepen the understanding of the fundamental building blocks of matter and their
interactions. Basic principles will be covered by using topical research as an example. The module provides the
required knowledge in order to successfully complete a master’s thesis in a related subject.
Course content
The following subjects shall be covered:
•Brief outline of experimental methods,
•Symmetries and the quark model,
•Lepton scattering at high energies,
•Particles and interaction in the Standard Model, as well as models for its unification and extension.
While covering the subjects, ground breaking and actual experiments will be discussed. Depending on the docent’s
interest, extension of the Standard Mode or bound systems will be covered in more detail.
Literature
•C. Berger, Elementarteilchenphysik, Springer-Verlag, 2006.
•D. Griffiths, Introduction to Elementary Particles, Wiley-VCH Verlag, 2008.
•E. Lohrmann, Hochenergiephysik, Teubner-Verlag, 2005.
•D. H. Perkins, High Energy Physics
•B. Povh et al., Teilchen und Kerne
Entry requirements
Recommended prerequisites
Knowledge equivalent to module Experimen-
tal Physics 5b “Nuclear and Particle Physics”
of the Bachelor course
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Schott
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
68
3.4 Topical Courses
Modul 809 Module Topical Courses: “Theoretical
Particle Physics”
08.128.809
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Theoretical
Particle Physics” (WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The lecture course “Theoretical Particle Physics” builds upon and continues the lecture course “Relativistic
Quantum Field Theory”. The lectures’ program goal is to provide a basic understanding of concepts and methods
of quantum field theory which are required for a MA thesis in theoretical particle physics.
Course content
Path integral formalism, quantum corrections, renormalization in QED, renormalization group; non-Abelian gauge
theories, quantum chromodynamics (QCD), spontaneous symmetry breaking, Higgs mechanism, standard model
of particle physics.
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Usually every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. S. Weinzierl
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
69
3 Detailed description of the Modules and Courses
Modul 751 Module Topical Courses: “Theoretical
Nuclear Physics”
08.128.751
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Theoretical
Nuclear Physics” (WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The aim of this course is to provide students with a survey of nuclear theory at the graduate level, as well as an
introduction to modern nuclear theories and topics. While the focus is on theoretical aspects of nuclear physics,
when possible, the subject will be linked to recent experimental progress and applications, e.g. to astrophysics.
Course content
Introduction to nuclei and nuclear forces, Theory for alpha, beta and gamma decays, Types of nuclear spectra
and EM transitions, Few-body methods for nuclei, Many-body methods for nuclei, Nuclear reactions, Nuclear
astrophysics and formation of the elements.
Literature
Text books on nuclear physics, e.g.
•Samuel S.M. Wong, Introductory Nuclear Physics.
•Carlos A. Bertulani, Nuclear Physics in a Nutshell.
•Kenneth S. Krane, Introductory Nuclear Physics.
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Winter semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. S. Bacca
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
70
3.4 Topical Courses
Modul 746 Module Topical Courses: “Introduction
to Lattice Gauge Theory”
08.128.746
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Introduction
to Lattice Gauge Theory” (WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The lectures’ program goal is to provide a basic understanding of the methods of lattice gauge theory and its
applications to problems in particle and nuclear physics. A particular goal is to teach the methods which are
required for pursuing a master’s thesis in this field.
Course content
Discretization of PDEs by finite differences; path integral in quantum mechanics; Euclidean correlation functions in
QFT; transfer matrix; scalar field theories on the lattice and spin models; Ising model at high and low temperature;
Z2lattice gauge theory, Elitzur’s theorem and Wegner loop; QED and QCD in the continuum; Wilson loop; lattice
gauge theory with Wilson action; Haar measure; fermions on the lattice; static potential and strong-coupling
expansion; renormalization group and continuum limit; lattice perturbation theory; Monte Carlo simulations and
determination of hadronic properties.
Entry requirements
Recommended prerequisites Theoretical Physics 6 (Quantum Field Theo-
ry)
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Irregular
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. H. Wittig
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
71
3 Detailed description of the Modules and Courses
Modul 760 Module Topical Courses: “Introduction
to String Theory”
08.128.760
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Introduction
to String Theory” (WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The lectures’ program goal is to provide a basic understanding of classical and quantised bosonic and fermionic
string theories. An additional goal is to teach methods which are required for the maters’s thesis.
Course content
Classical bosonic string, quantisation (lightcone, covariant, path integral, BRST formalism), D-branes, super-
strings, introduction to conformal field theory, string amplitudes.
Literature
various textbooks, publications close to science, e.g.:
•Zwiebach: A First Course in String Theory, Cambridge University Press 2004;
•Blumenhagen, Lüst, Theisen: Basic Concepts of String Theory, Springer 2012;
•Polchinski: String Theory, Vol. 1 & 2, Cambridge University Press 1998;
•Green, Schwarz, Witten: String Theory, Vol. 1 & 2, Cambridge University Press 1987;
•Becker, Becker, Schwarz: String Theory and M-Theory - A Modern Introduction, Cambridge University Press
2007
Entry requirements
Recommended prerequisites
Recommended, but not required: Theoretical
Physics 6 (Quantum Field Theory), Cosmo-
logy and General Relativity
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Irregular
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. G. Honecker
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
72
3.4 Topical Courses
Modul 766 Module Topical Courses: “Effective Field
Theories”
08.128.766
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Effective Field
Theories” (WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The lectures introduce the basic ideas of the effective field theory approach like relevant and irrelevant operators,
renormalization group, decoupling of heavy particle. The lectures also provide a deeper understanding of its most
important applications in modern research fields.
Course content
The method of effective field theory provides a systematic approach to multi-scale problems. An effective field
theory uses the appropriate degrees of freedom to describe the phenomena at a given energy scale, while all
degrees of freedom only relevant at much higher scales are eliminated from the theory. These concepts lead to
a large variety of phenomenological applications in modern particle physics. Especially in the theory of strong
interactions with its different behaviour at the various energy scales the important examples of the electroweak
Lagrangian, heavy-quark-effective theory, and soft-collinear-effective theories allow for most suitable descriptions
of the respective theoretical systems.
Literature
•Lecture notes Ëffective Field Theory"by A. Pich
•Lecture notes Ëffective Field Theories"by A. Manohar
•Lecture notes Ëffective Field Theories and Heavy Quark Physics"by M. Neubert
Entry requirements
Recommended prerequisites Theoretical Physics 6 (Quantum Field Theo-
ry)
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Irregular
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Neubert
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
73
3 Detailed description of the Modules and Courses
Modul 762 Module Topical Courses: “Theoretical
Astroparticle Physics”
08.128.762
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Theoretical
Astroparticle Physics” (WP) 1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
This lecture aims to give, from a theorists point of view, a broad but thorough overview of state of the art
astroparticle physics. Its goal is to prepare students to understand the current scientific literature on cosmology,
dark matter, neutrinos and related topics and to prepare them for their own research projects (Master / PhD) in
experimental or theoretical astroparticle physics.
Course content
The big bang theory (Friedmann equation, expansion of the Universe); big bang nucleosynthesis; cosmic microwave
background; formation of structure in the Universe; dark matter (production in the early Universe by thermal
freeze-out, searches in terrestrial and astrophysical experiments); the cosmic matter-antimatter asymmetry; high
energy cosmic rays; neutrinos (mechanisms to explain the smallness of neutrino masses; theory and phenomenology
of neutrino oscillations; impact of neutrinos on cosmology; supernova neutrinos); axions
Literature
various textbooks, publications close to science
Entry requirements
Recommended prerequisites Theoretical Physics 6 (Quantum Field Theo-
ry)
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Irregular
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. J. Kopp
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
74
3.4 Topical Courses
Modul 764 Module Topical Courses: “Amplitudes
and Precision Physics at the LHC”
08.128.764
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Amplitudes
and Precision Physics at the LHC”
(WP)
1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The goal of this lecture is to introduce students to recently developed methods for calculating scattering amplitudes
within quantum field theory. A particular emphasis is put on the efficiency of the methods to be used. These
new methods allow to predict cross sections for the experiments at the LHC, which are difficult to compute with
traditional methods.
Course content
Spin- and helicity methods, colour decomposition, off-shell recursion relations, on-shell recursion relations, scat-
tering equations; loop integrals, differential equations for loop integrals, classes of functions (for example multiple
polylogarithms).
Entry requirements
Recommended prerequisites Theoretical Physics 6 (Quantum Field Theo-
ry)
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Irregular
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. J. Henn, Prof. Dr. S. Weinzierl
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
75
3 Detailed description of the Modules and Courses
Modul 747 Module Topical Courses: “Functional
Methods and Exact Renormalization
Group”
08.128.747
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Functional
Methods and Exact Renormalization
Group” (WP)
1 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (120-180 Min.), oral examination (30 Min.), term paper
or presentation
Qualification and program goals / Competences
The goal of this lecture is to introduce students to path integrals, functional integral quantization of field theories
and the functional renormalization group equation.
Course content
(A) Path integrals in quantum mechanics:
•Relation to the canonical approach, discretization and operator ordering, topological aspects (multiply connec-
ted configuration spaces, etc.), evaluation of functional integrals (exactly soluble examples, semiclassical ex-
pansion, perturbation theory), instantons in quantum mechanics (double well, periodic potentials, n- and
Theta-vacua).
(B) Functional integral quantization of field theories:
•Functional Schroedinger picture, wave functionals, field-particle relationship, symmetry and covariance proper-
ties, from transition amplitudes to (vacuum-) correlators and generating functionals, the Schwinger-Symanzik
approach, functional integral representation via the Schroedinger picture and the Schwinger-Symanzik ap-
proach, the effective action (canonical and diagrammatic approaches, Legendre-Fenchel transform), computa-
tional techniques (semiclassical and perturbative expansion), perturbative Yang-Mills theory, nonperturbative
Yang-Mills theory (llarge"gauge transformations, homotopy classes- and groups, instantons and tunneling,
nonperturbative vacuum structure).
(C) The functional renormalization group equation (FRGE):
•Functional (i.e. “exact”) vs. perturbative renormalization, critical phenomena, Wilsonian renormalization group
in statistical mechanics and quantum field theory (theory space, block spin transformations, coupling constant
flows), notions of nonperturbative renormalizability, continuum limits and phase transitions, construction and
“solution” of quantum field theories by means of FRGE methods.
Entry requirements
Recommended prerequisites Theoretical Physics 6 (Quantum Field Theo-
ry)
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Irregular
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Reuter
Applicable to the following programs M.Sc. Physics
76
3.4 Topical Courses
Modul 747 Module Topical Courses: “Functional
Methods and Exact Renormalization
Group”
08.128.747
Miscellaneous Course language: English
77
3 Detailed description of the Modules and Courses
Modul 806 Module Topical Courses: “Advanced
Particle Physics”
08.128.806
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Advanced Par-
ticle Physics” (WP) 1 o. 2 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (90-180 Min.) or oral examination (30 Min.)
Qualification and program goals / Competences
This course covers special aspects of the fundamental building blocks of matter and their interactions in detail.
The newest experimental methods and results will be presented for topical research areas in particle physics. The
course provides the students with advanced knowledge that will help in completing an experimental master’s
thesis in a related research area.
Course content
The content of the course is variable and will typically include one of the following subjects:
•Lepton scattering at high energies,
•Strong interaction,
•Electro-weak interaction, as well as
•Models for the unification and extrension of the Standard Model.
Literature
•C. Berger, Elementarteilchenphysik
•D. Griffiths, Introduction to Elementary Particles
Recommendations for specialized books and recent publication on current topics will be provided.
Entry requirements
Recommended prerequisites
Knowledge on the level of the module Ex-
perimental Physics 5b “Nuclear and Particle
Physics” is strongly recommended. Helpful,
however not essential, is the successful com-
pletion of the Topical Course “Elementary
Particle Physics”.
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency irregular
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Schott
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
78
3.4 Topical Courses
Modul 807 Module Topical Courses: “Advanced
Chapters on Subatomic Physics”
08.128.807
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Advanced
Chapters on Subatomic Physics” (WP) 1 o. 2 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (90-180 Min.) or oral examination (30 Min.)
Qualification and program goals / Competences
The module intends to provide a deep understanding on research-oriented topics of hadron physics. Basic con-
cepts as well as research topics will be presented. The module will provide the essential knowledge necessary to
successfully complete an experimental master’s thesis in related fields.
Course content
Current experimental methods, electromagnetic and hadronic probes, polarization experiments; resonances, de-
cays, form factors and structure functions of hadrons; effective theories; spectroscopy, symmetry and structures
of hadrons, the impact of hadron physics on precision tests of the Standard Model. Key experiments will be
discussed for all topics.
Literature
Several text books, e.g.
•B. Povh et al., Teilchen und Kerne
•D. H. Perkins, High Energy Physics
•W. Thomas und W. Weise, The Structure of the Nucleon
Entry requirements
Recommended prerequisites
Knowledge at the level of Experimental Phy-
sics 5 “Nuclear and Particle Physics”.
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. A. Denig
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
79
3 Detailed description of the Modules and Courses
Modul 808 Module Topical Courses: “Advanced
Astroparticle- and Astrophysics”
08.128.808
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Advanced
Astroparticle- and Astrophysics” (WP) 1 o. 2 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (90-180 Min.) or oral examination (30 Min.)
Qualification and program goals / Competences
This module covers special aspects of astroparticle physics and astrophysics, thereby presenting the newest ex-
perimental methods and results. The module provides the students with advanced knowledge that will help in
completing an experimental master’s thesis in a related research area.
Course content
Depending on interest of the lecturer, the emphasis will be put on nuclear- or astrophysical aspects of the following
subjects:
•Cosmology (early universe, nucleosynthesis, dark components),
•Stars (formation, energy production and development stages) or Cosmic radiation (origin, acceleration mecha-
nisms, etc.).
Entry requirements
Recommended prerequisites
Knowledge on the level of the module Ex-
perimental Physics 5b “Nuclear and Particle
Physics” is strongly recommended.
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency irregular
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. U. Oberlack
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
80
3.4 Topical Courses
Modul 816 Module Topical Courses: “Advanced Ac-
celerator Physics”
08.128.816
Compulsory or elective module WP
Credit points and workload 6 LP = 180 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Advanced Ac-
celerator Physics” (WP) 2 P 138 h 6 LP
Lecture (WP) V 3 SWS
Excercises (WP) Ü 1 SWS
To complete the module, the following achievements must be made:
Presence
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination Written exam (90-180 Min.) or oral examination (30 Min.)
Qualification and program goals / Competences
The first objective of the course is to understand spin-polarized ensembles. Later-on, we will discuss their behavior
under the conditions of relativistic motion in macroscopic external fields. This regime is governed by the Thomas-
BMT equation. The spin dynamics in spin rotators, recirculating linear accelerators, but also in particular for
synchrotrons and storage rings will be discussed. The second part is devoted to the realization of spin-sensitive
experiments at accelerators which are of course based on the interaction of spins with microscopic fields. Infor-
mation on these interactions may be obtained by measuring spin sensitive observables, e.g. the analysing power
of the process. The presentation of experimental techniques such as polarized sources and polarimeters concludes
the course. The course provides the background to successfully complete a master’s thesis in the groups at MAMI
that deal with experiments based on spin-polarized beams.
Course content
The course will provide knowledge and competence with respect to the following subjects: Spin polarized ensem-
bles, density matrix, Dirac’ equation, spin precession in the lab frame (Thomas BMT equation), single pass spin
rotators, sibirian snakes, intrinsic and imperfection resonances in storage rings, Sokolov-Ternov effect, spinstable
solutions, depolarization by synchrotron radiation, spin equilibrium, spin polarized sources, spin sensitive obser-
vables (analyzing powers), polarimetry parity violating observable, Parity violation experiments at accelerators,
double polarization experiments with polarized targets at collider facilities.
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 6/120
Module frequency Every summer semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. K. Aulenbacher
Applicable to the following programs M.Sc. Physics
Miscellaneous Course language: English
81
3 Detailed description of the Modules and Courses
3.5 Focus Courses
The list of Focus courses changes from semester to semester and is only available in Jogustine. For the
general description of the module see below:
Modul 650 Module “Focus Courses” M.08.128.650
Compulsory or elective module W
Credit points and workload 3-9 LP = 90-270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Topical Cour-
se” 1/2 W 69 h 3 LP
Lecture V 1.5 SWS
Excercises (WP) Ü 0.5 SWS
Advanced Seminar OS 1/2 W 2 SWS 69 h 3 LP
Industrial Internship P 1/2 W 2 SWS 69 h 3 LP
To complete the module, the following achievements must be made:
Presence OS, P
Active participation according to §5 subsection 3
Course achievements successful completion of exercises or projects
Module examination This module will not be graded
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language English
Examination language English or German
Weighting of the achievement in the overall grade 3-9/120
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Ostrick
Applicable to the following programs M.Sc. Physics
Miscellaneous
82
3.6 Research Phase
3.6 Research Phase
Modul 660 Specialization M.08.128.660
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Specialization (P) F 3 P 60 h 390 h 15 LP
To complete the module, the following achievements must be made:
Presence
Active participation Working on the research project with at least one weekly supervising
discussion.
Course achievements
Module examination A concluding presentation to the working group. There is no grade for
this module.
Qualification and program goals / Competences
Within a working group the course intends to provide the student with
•the special knowledge necessary to successfully complete a master’s thesis and the
•necessary methods to successfully complete a master’s thesis and to work independently on a specific scientific
topic.
Course content
A preliminary topic of the master’s thesis from the research project of an experimental or theoretical working
group will be specified which the student will then begin to work on.
Entry requirements
All teaching units of the master’s courses
from the 1st and 2nd semester, with the pos-
sible exception of the Topical Course II, the
Advanced Course and Seminar II.
Recommended prerequisites
Language Course language German/English
Examination language German/English
Weighting of the achievement in the overall grade 0 (The module does not enter in the overall
grade)
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Ostrick
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
83
3 Detailed description of the Modules and Courses
Modul 670 Methodological Knowledge M.08.128.670
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Methodological Knowledge (P) F 3 P 60 h 390 h 15 LP
To complete the module, the following achievements must be made:
Presence
Active participation Learning the methods in addition to at least one weekly supervising
discussion
Course achievements
Module examination Based on a concluding presentation to the working group or creating a
portfolio
Qualification and program goals / Competences
Within a working group the lecture intends to provide the student with
•the special knowledge necessary to successfully complete a master’s thesis and the
•necessary methods to successfully complete a master’s thesis and to work independently on a specific scientific
topic.
Course content
For the topic of the master’s thesis from the research project of an experimental or theoretical working group,
the student will become familiar with the methods necessary to complete the master’s thesis.
Entry requirements Module “Specialization”
Recommended prerequisites
Language Course language German/English
Examination language German/English
Weighting of the achievement in the overall grade 15/120
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Ostrick
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
84
3.6 Research Phase
Modul 969 Master Thesis A.08.128.969
Compulsory or elective module P
Credit points and workload 30 LP = 900 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Master thesis (P) 4 P 110 h 760 h 29 LP
Final Colloquium (P) 4 P 2 h 28 h 1 LP
To complete the module, the following achievements must be made:
Presence
Active participation Developing the new results at the frontiers of knowledge with at least
one weekly supervising discussion
Course achievements
Module examination Written master thesis, Final colloquium in front of the working group
or a wider audience (siehe §17 PO)
Qualification and program goals / Competences
Students are able to work scientifically on a topic in their chosen field of specialization. They are able to introduce
this topic in the form of a scientific paper (Master’s thesis), describe and document their results and interpret
and discuss them in the light of the relevant literature. They are also able to present and defend their Master’s
thesis in the form of a scientific presentation and answer questions on the topic and peripheral areas.
Course content
For the topic of the master thesis from the research project of an experimental or theoretical working group, the
student will develop new results at the frontiers of knowledge.
Entry requirements
Module “Specialization” and “Methodologi-
cal Knowledge”
Recommended prerequisites
Language Course language German/English
Examination language German/English
Weighting of the achievement in the overall grade 30/120 (siehe §16 der PO)
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. M. Ostrick
Applicable to the following programs M.Sc. Physics, M.Sc. Applied Physics
Miscellaneous Course language: English
85
3 Detailed description of the Modules and Courses
3.7 Subsidiary Subjects
Currently only the lectures from the Economics subject are always in English. For the other subsidiary
subjects it is up to the lecturer to decide about the course language.
3.7.1 Chemistry
Modul 1005 Nuclear Chemistry M.09.032.1005
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture “Einführung in die Kernche-
mie” (WP) V 1 P 2 SWS 39 h 2 LP
Excercises “Einführung in die Kernche-
mie” (WP) Ü 1 P 1 SWS 49.5 h 2 LP
Kernchemisches Praktikum I (WP) Pr 1 P 5 SWS 97.5 h 5 LP
To complete the module, the following achievements must be made:
Presence
Active participation successful completion of the exercises
Course achievements
Module examination Oral examination (30-45 Min.)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. F. Rösch
Applicable to the following programs MSc Physik
Miscellaneous
Course language: German
Further details can be found in the module
handbooks of the Chemistry programs.
Modul 1006 Nuclear Chemistry (with one additional
advanced course)
M.09.032.1006
Compulsory or elective module P
Credit points and workload 12 LP = 270 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
86
3.7 Subsidiary Subjects
Modul 1006 Nuclear Chemistry (with one additional
advanced course)
M.09.032.1006
Lecture “Einführung in die Kernche-
mie” (WP) V 1 P 2 SWS 39 h 2 LP
Excercises “Einführung in die Kernche-
mie” (WP) Ü 1 P 1 SWS 49.5 h 2 LP
Kernchemisches Praktikum I (WP) Pr 1 P 5 SWS 97.5 h 5 LP
Spezialvorlesung I (WP) 1 P 2 SWS 69 h 3 LP
To complete the module, the following achievements must be made:
Presence
Active participation successful completion of the exercises
Course achievements
Module examination Oral examination (30-45 Min.)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 12/120
Module frequency
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. F. Rösch
Applicable to the following programs
Miscellaneous
Course language: German
Further details can be found in the module
handbooks of the Chemistry programs.
Modul 1007 Nuclear Chemistry (with two additional
advanced courses)
M.09.032.1007
Compulsory or elective module P
Credit points and workload 15 LP = 270 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture “Einführung in die Kernche-
mie” (WP) V 1 P 2 SWS 39 h 2 LP
Excercises “Einführung in die Kernche-
mie” (WP) Ü 1 P 1 SWS 49.5 h 2 LP
Kernchemisches Praktikum I (WP) Pr 1 P 5 SWS 97.5 h 5 LP
Spezialvorlesung I (WP) 1 P 2 SWS 69 h 3 LP
Spezialvorlesung II (WP) 1 P 2 SWS 69 h 3 LP
To complete the module, the following achievements must be made:
Presence
Active participation successful completion of the exercises
Course achievements
Module examination Oral examination (30-45 Min.)
87
3 Detailed description of the Modules and Courses
Modul 1007 Nuclear Chemistry (with two additional
advanced courses)
M.09.032.1007
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. F. Rösch
Applicable to the following programs
Miscellaneous
Course language: German
Further details can be found in the module
handbooks of the Chemistry programs.
Modul 1010 Introduction to Theoretical Chemistry M.09.032.1010
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture/Excercises “Einführung in die
Theoretische Chemie” (WP) V 1 P 5 SWS 127 h 6 LP
Lab course “Computerchemie” (WP) Pr 1 P 5 SWS 37 h 3 LP
To complete the module, the following achievements must be made:
Presence
Active participation successful completion of the exercises
Course achievements
Module examination Written exam (120 min) or oral examination (30 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. Jürgen Gauß
Applicable to the following programs
Miscellaneous
Course language: German
Further details can be found in the german
version of the module handbook
88
3.7 Subsidiary Subjects
89
3 Detailed description of the Modules and Courses
Modul 1011 Theoretical Chemistry M.09.032.1011
Compulsory or elective module P
Credit points and workload 12 LP = 360 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture/Excercises “Theoretische Che-
mie 1” (WP) V 1 P 3 SWS 88 h 4 LP
Lab course “Theoretische Chemie 1”
(WP) Pr 1 P 5 SWS 7 h 2 LP
Lecture/Excercises “Theoretische Che-
mie 2” (WP) V 1 P 3 SWS 88 h 4 LP
Lab course “Computerchemie” (WP) Pr 1 P 5 SWS 7 h 2 LP
To complete the module, the following achievements must be made:
Presence
Active participation successful completion of the exercises
Course achievements Kolloquium zum Praktikum Computerchemie
Module examination Written exam (120 min) or oral examination (30 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 12/120
Module frequency
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. Jürgen Gauß
Applicable to the following programs MSc Physik
Miscellaneous
Course language: German
Further details can be found in the german
version of the module handbook
90
3.7 Subsidiary Subjects
3.7.2 Computer Science
Remarks:
The introductory courses „Einführung in die Programmierung“, „Einführung in die Softwareentwicklung“,
as well as „Technische Informatik“ cannot be chosen as part of these modules.
Courses belonging to the theoretical foundation („Theoretische Grundlagen der Informatik I + II“, „Da-
tenstrukturen u. effiziente Algorithmen“) as well as the ones belonging to the focus subjects can be chosen.
The following courses are regularly offered: Computergrafik (Computergrafik Teil I + II, Echtzeitbild-
verarbeitung, 3D Computer Vision) Informationssysteme (Datenbanken Teil I + II) Datenanalyse (Da-
tenwarehouse + Data-Mining) Modellbildung + Simulation Clientseitige Webanwendungen + Serverseitige
Webanwendungen Datenstrukturen u. effiziente Algorithmen Betriebssysteme + verteilte Systeme Kommu-
nikationsnetze Software-Technik.
Modul xx1 Computer Science I M.08.079.xx1
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Course A (WP) V 1 P 2 SWS 69 h 3 LP
Excercises to Course A (WP) V 1 P 1 SWS 79.5 h 3 LP
Lab course A (WP) V 1 P 2 SWS 69 h 3 LP
To complete the module, the following achievements must be made:
Presence
Active participation successful completion of the exercises
Course achievements succesfull completion of the lab course
Module examination Written exam (120 min) or oral examination (30 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency
Reasons for compulsory attendance
Persons responsible for this module
Applicable to the following programs
Miscellaneous
Course language: German
Further details can be found in the modu-
le handbooks of the Computer Science pro-
grams.
Modul xx2 Computer Science II M.08.079.xx2
Compulsory or elective module P
Credit points and workload 12 LP = 360 h
Duration according to the study plan 1
91
3 Detailed description of the Modules and Courses
Modul xx2 Computer Science II M.08.079.xx2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Course A (WP) V 1 P 2 SWS 69 h 3 LP
Excercises to Course A (WP) V 1 P 1 SWS 79.5 h 3 LP
Course B (WP) V 1 P 2 SWS 69 h 3 LP
Excercises to Course B (WP) V 1 P 1 SWS 79.5 h 3 LP
To complete the module, the following achievements must be made:
Presence
Active participation successful completion of the exercises
Course achievements Written exam (120 min) or oral examination (30 min) for each of the
two courses
Module examination Average of the two course achievements
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 12/120
Module frequency
Reasons for compulsory attendance
Persons responsible for this module
Applicable to the following programs
Miscellaneous
Course language: German
Further details can be found in the modu-
le handbooks of the Computer Science pro-
grams.
Modul xx3 Computer Science III M.08.079.xx3
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Course A (WP) V 1 P 2 SWS 69 h 3 LP
Excercises to Course A (WP) V 1 P 1 SWS 79.5 h 3 LP
Course B (WP) V 1 P 2 SWS 69 h 3 LP
Excercises to Course B (WP) V 1 P 1 SWS 79.5 h 3 LP
Lab course A or B (WP) V 1 P 2 SWS 69 h 3 LP
To complete the module, the following achievements must be made:
Presence
Active participation successful completion of the exercises
Course achievements Written exam (120 min) or oral examination (30 min) for each of the
two courses
Succesfull completion of the lab course
Module examination Average of the course achievements
92
3.7 Subsidiary Subjects
Modul xx3 Computer Science III M.08.079.xx3
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency
Reasons for compulsory attendance
Persons responsible for this module
Applicable to the following programs
Miscellaneous
Course language: German
Further details can be found in the modu-
le handbooks of the Computer Science pro-
grams.
Modul xx4 Computer Science IV M.08.079.xx4
Compulsory or elective module P
Credit points and workload 16 LP = 480 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Course A (WP) V 1 P 2 SWS 69 h 3 LP
Excercises to Course A (WP) V 1 P 1 SWS 79.5 h 3 LP
Course B (WP) V 1 P 2 SWS 69 h 3 LP
Excercises to Course B (WP) V 1 P 1 SWS 79.5 h 3 LP
Lab course A or B (WP) V 1 P 2 SWS 99 h 4 LP
To complete the module, the following achievements must be made:
Presence
Active participation successful completion of the exercises
Course achievements Written exam (120 min) or oral examination (30 min) for each of the
two courses
Seminar presentation
Module examination Average of the course achievements
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency
Reasons for compulsory attendance
Persons responsible for this module
93
3 Detailed description of the Modules and Courses
Modul xx4 Computer Science IV M.08.079.xx4
Applicable to the following programs
Miscellaneous
Course language: German
Further details can be found in the modu-
le handbooks of the Computer Science pro-
grams.
94
3.7 Subsidiary Subjects
3.7.3 Economics
Within the subsidiary subject Economics one out of the following four branches can be selected: „Accounting
and Finance“, „Management“, „EDS&BEST (Eco Data Science and Behav Strategy)“ and „IEPP (Int Econ
and Pub Policy)“ . In each branch two modules must be succesfully completed.
•Branch 1: „Accounting and Finance“
–Banken
–Controlling
–Corporate Finance
–Corporate Governance und Wirtschaftsprüfung
–Micro Econometrics
–Praxis der Corporate Governance
–Praxis der Wirtschaftsprüfung
–Rechnungslegung nach HGB
–Rechnungslegung nach IFRS
–Steuern
–Zeitreihenanalyse
•Branch 2: „Management“
–Digital Marketing
–Entrepreneurship
–Firm Strategies and Managerial Economics
–Logistikmanagement
–Micro Econometrics
–Strategisches Management
–Zeitreihenanalyse
•Branch 3: „EDS&BEST (Eco Data Science and Behav Strategy)“
–Behavioral Economic Theory
–Behavioral Microeconomics
–Behavioral Public Finance
–Entrepreneurship
–Micro Econometrics
•Branch 4: „IEPP (Int Econ and Pub Policy)& Operations“
–Economic Growth and Global Warming
–Economics of Cities and Regions
–Exchange Rates and International Capital Markets
–Intermediate Public Economics
–International Trade: Theory and Policy
–Micro Econometrics
–Umweltökonomik
–Zeitreihenanalyse
95
3 Detailed description of the Modules and Courses
3.7.4 History of Natural Sciences
Modul 060 History of Natural Science I M.08.275.060
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
a) Vorlesung: Geschichte der Naturwis-
senschaft I (P) V 1 P 2 SWS 69 h 3 LP
b) Seminar: Einführung in das wissen-
schaftshistorische Arbeiten (P) S 1 P 2 SWS 69 h 3 LP
c) Vorlesung: Geschichte der Naturwis-
senschaft II (P) V 1 P 2 SWS 69 h 3 LP
d) Lektürekurs (P) 1 P 2 SWS 69 h 3 LP
e) Übungen (P) Ü 1 P 2 SWS 69 h 3 LP
To complete the module, the following achievements must be made:
Presence
Active participation Participation in all seminars
Course achievements d) Presentation
e) Essays and/or Exercises
Module examination Oral examination (20-30 Min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/180 (BSc) or 15/120 (MSc)
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. Sauer
Applicable to the following programs BSc. Physik, MSc Physik
Miscellaneous
Course language: German (maybe English)
Further details can be found in the german
version of the module handbook
Modul 070 History of Natural Science II M.08.275.070
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
a) Vorlesung: Geschichte der Naturwis-
senschaft I (P) S 1 P 2 SWS 129 h 5 LP
b) Lektürekurs (P) 1 P 2 SWS 99 h 4 LP
96
3.7 Subsidiary Subjects
Modul 070 History of Natural Science II M.08.275.070
To complete the module, the following achievements must be made:
Presence
Active participation Participation in all seminars
Course achievements a) Presentation and written term paper
b) Presentation and report
Module examination Oral examination (20-30 Min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites Module “History of Natural Science I”
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/180 (BSc) or 9/120 (MSc)
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. Sauer
Applicable to the following programs BSc. Physik, MSc Physik
Miscellaneous
Course language: German (maybe English)
Further details can be found in the german
version of the module handbook
97
3 Detailed description of the Modules and Courses
3.7.5 Mathematics
Modul 1300 Functional Analysis M.08.105.1300
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Funktional-
analysis I” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 1310 Functional Analysis (with Functional
Analysis II)
M.08.105.1310
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Functional
Analysis I” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
Lecture “Funktionalanalysis II” V 1 P 4 SWS 138 h 6 LP
98
3.7 Subsidiary Subjects
Modul 1310 Functional Analysis (with Functional
Analysis II)
M.08.105.1310
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
99
3 Detailed description of the Modules and Courses
Modul 1320 Partial differential equations M.08.105.1320
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Partial diffe-
rential equations I” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 1330 Partial differential equations (with par-
tial differential equations II)
M.08.105.1330
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Partial diffe-
rential equations I” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
Lecture “Partial differential equations
II” V 1 P 4 SWS 138 h 6 LP
100
3.7 Subsidiary Subjects
Modul 1330 Partial differential equations (with par-
tial differential equations II)
M.08.105.1330
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
101
3 Detailed description of the Modules and Courses
Modul 1340 Fundamentals in Stochastics M.08.105.1340
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Introduction
to Stochastics” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 1350 Fundamentals in Stochastics M.08.105.1350
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Introduction
to Stochastics” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
Lecture “Stochastics I” V 1 P 4 SWS 138 h 6 LP
102
3.7 Subsidiary Subjects
Modul 1350 Fundamentals in Stochastics M.08.105.1350
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
103
3 Detailed description of the Modules and Courses
Modul 1360 Stochastics I M.08.105.1360
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Stochastics I” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 1370 Stochastics I (with Stochastics II) M.08.105.1370
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Stochastics I” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
Lecture “Stochastics II” V 1 P 4 SWS 138 h 6 LP
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
104
3.7 Subsidiary Subjects
Modul 1370 Stochastics I (with Stochastics II) M.08.105.1370
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 580 Stochastics 2 M.08.105.580
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture “Stochastics II” V 1 P 4 SWS 120 h 6 LP
Lecture “Stochastics III” V 1 P 4 SWS 120 h 6 LP
Oral exam 1 P 90 h 3 LP
To complete the module, the following achievements must be made:
Presence
Active participation
Course achievements
Module examination Oral examination (20-30 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte. Hauptamt-
lich
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
105
3 Detailed description of the Modules and Courses
Modul 1380 Basic Numerics M.08.105.1380
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Basic Nume-
rics” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 1390 Basic Numerics M.08.105.1390
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Grundlagen
der Numerik” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
Lecture “Numerik gewöhnlicher Diffe-
rentialgleichungen” V 1 P 4 SWS 138 h 6 LP
106
3.7 Subsidiary Subjects
Modul 1390 Basic Numerics M.08.105.1390
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
107
3 Detailed description of the Modules and Courses
Modul 1400 Numerics of differential equations M.08.105.1400
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Numerics of
ordinary differential equations” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 1410 Numerics of differential equations M.08.105.1410
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Numerics of
ordinary differential equations” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
Lecture “Numerics of partial differenti-
al equations” V 1 P 4 SWS 138 h 6 LP
108
3.7 Subsidiary Subjects
Modul 1410 Numerics of differential equations M.08.105.1410
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
109
3 Detailed description of the Modules and Courses
Modul 1420 Algebra M.08.105.1420
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Computeralge-
bra” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 1430 Algebra M.08.105.1430
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Computeralge-
bra” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
Lecture “Körper, Ringe, Moduln” V 1 P 4 SWS 138 h 6 LP
110
3.7 Subsidiary Subjects
Modul 1430 Algebra M.08.105.1430
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
111
3 Detailed description of the Modules and Courses
Modul 1440 Topology M.08.105.1440
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Topology” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 1450 Topology (with lecture “Algebraic cur-
ves and Riemannian surfaces”)
M.08.105.1450
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Topology” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
Lecture “Algebraic curves and Rieman-
nian surfaces” V 1 P 4 SWS 138 h 6 LP
112
3.7 Subsidiary Subjects
Modul 1450 Topology (with lecture “Algebraic cur-
ves and Riemannian surfaces”)
M.08.105.1450
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
113
3 Detailed description of the Modules and Courses
Modul 1460 Computer algebra M.08.105.1460
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Computer al-
gebra” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 1470 Computer algebra (with Number Theo-
ry)
M.08.105.1470
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Computer al-
gebra” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
Lecture “Number Theory” V 1 P 4 SWS 138 h 6 LP
114
3.7 Subsidiary Subjects
Modul 1470 Computer algebra (with Number Theo-
ry)
M.08.105.1470
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
115
3 Detailed description of the Modules and Courses
Modul 10050 Differential Geometry and Manifolds M.08.105.10050
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Differential
Geometry and Manifolds” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 10040 Function Theory M.08.105.10040
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Function
Theory” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
116
3.7 Subsidiary Subjects
Modul 10040 Function Theory M.08.105.10040
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
117
3 Detailed description of the Modules and Courses
Modul 140 Number Theory M.08.105.140
Compulsory or elective module P
Credit points and workload 9 LP = 270 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Number Theo-
ry” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 650 Vertiefungsmodul Analysis M.08.105.650
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture “Vertiefungsmodul Analysis I” V 1 P 4 SWS 138 h 6 LP
Lecture “Vertiefungsmodul Analysis II” V 1 P 4 SWS 138 h 6 LP
Module examination 90 h
To complete the module, the following achievements must be made:
Presence
Active participation
Course achievements
Module examination Oral examination (20-30 min)
Qualification and program goals / Competences
118
3.7 Subsidiary Subjects
Modul 650 Vertiefungsmodul Analysis M.08.105.650
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the module
handbooks of the Mathematics programs
119
3 Detailed description of the Modules and Courses
Modul 560 Functional Analysis M.08.105.560
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture “Functional Analysis II” V 1 P 4 SWS 138 h 6 LP
Lecture “Funktionalanalysis III” V 1 P 4 SWS 138 h 6 LP
Module examination 90 h
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites Functional Analysis I
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 625 Vertiefungsmodul Eichtheorie M.08.105.625
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture “Eichtheorie I” V 1 P 4 SWS 138 h 6 LP
Lecture “Eichtheorie II” V 1 P 4 SWS 138 h 6 LP
Module examination 90 h
To complete the module, the following achievements must be made:
Presence
Active participation
Course achievements
Module examination Oral examination (20-30 min)
Qualification and program goals / Competences
120
3.7 Subsidiary Subjects
Modul 625 Vertiefungsmodul Eichtheorie M.08.105.625
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the module
handbooks of the Mathematics programs
121
3 Detailed description of the Modules and Courses
Modul 070 Basic Numerics M.08.105.070
Compulsory or elective module P
Credit points and workload 12 LP = 360 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture with excercises “Basic Nume-
rics” 1 P 207 h 9 LP
Lecture (WP) V 4 SWS
Excercises (WP) Ü 2 SWS
Pr 1 P 2 SWS 69 h 3 LP
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min) or written exam (120 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 9/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 540 Complex Differential Geometry M.08.105.540
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture “Complex Differential Geome-
try I” V 1 P 4 SWS 138 h 6 LP
Lecture “Complex Differential Geome-
try II” V 1 P 4 SWS 138 h 6 LP
Module examination 90 h
122
3.7 Subsidiary Subjects
Modul 540 Complex Differential Geometry M.08.105.540
To complete the module, the following achievements must be made:
Presence
Active participation Successful completion of the exercises and oral presentation of own
solutions.
Course achievements
Module examination Oral examination (20-30 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites Algebraic curves and Riemannian surfaces
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
Persons responsible for this module ist der Studiengangsbeauftragte.
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 500 Algebraic Geometry M.08.105.500
Compulsory or elective module P
Credit points and workload 15 LP = 450 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture “Algebraic Geometry I” V 1 P 4 SWS 120 h 6 LP
Lecture “Algebraic Geometry II” V 1 P 4 SWS 120 h 6 LP
Oral exam 1 P 90 h 3 LP
To complete the module, the following achievements must be made:
Presence
Active participation
Course achievements
Module examination Oral examination (20-30 min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 15/120
Module frequency Once per year
Reasons for compulsory attendance
123
3 Detailed description of the Modules and Courses
Modul 500 Algebraic Geometry M.08.105.500
Persons responsible for this module ist der Studiengangsbeauftragte. Hauptamt-
lich
Applicable to the following programs MSc Physik
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
124
3 Detailed description of the Modules and Courses
3.7.7 Philosophy
Modul 061 Basismodul (historisch) - Philosophie
der Neuzeit
M.05.127.061
Compulsory or elective module P
Credit points and workload 5 LP = 150 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
a) Oberseminar: Philosophie der Neu-
zeit S 1 P 2 SWS 99 h 4 LP
Modul examination 1 P 30 h 1 LP
To complete the module, the following achievements must be made:
Presence
Active participation
Course achievements
Module examination Seminar paper (8-10 pages) or Presentation (+ written report of 5
pages) or written exam (90 Min.) or oral exam (20 Min.) in a)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 5/120
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Univ.-Prof. Dr. Heiner F. Klemme Haupt-
amtliche
Applicable to the following programs
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
Modul 063 Aufbaumodul (historisch) - Philosophie
der Neuzeit
M.05.127.063
Compulsory or elective module P
Credit points and workload 5 LP = 150 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
a) Oberseminar: Philosophie der Neu-
zeit S 2 P 2 SWS 99 h 4 LP
Modul examination 2 P 30 h 1 LP
126
3.7 Subsidiary Subjects
Modul 063 Aufbaumodul (historisch) - Philosophie
der Neuzeit
M.05.127.063
To complete the module, the following achievements must be made:
Presence
Active participation
Course achievements
Module examination Seminar paper (8-10 pages) or Presentation (+ written report of 5
pages) or written exam (90 Min.) or oral exam (20 Min.) in a)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 5/120
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Univ.-Prof. Dr. Heiner F. Klemme Haupt-
amtliche
Applicable to the following programs
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
127
3 Detailed description of the Modules and Courses
Modul 065 Vertiefungsmodul (historisch) - Philoso-
phie der Neuzeit
M.05.127.065
Compulsory or elective module P
Credit points and workload 5 LP = 150 h
Duration according to the study plan 1
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
a) Oberseminar: Philosophie der Neu-
zeit S 3 P 2 SWS 99 h 4 LP
Modul examination 3 P 30 h 1 LP
To complete the module, the following achievements must be made:
Presence
Active participation
Course achievements
Module examination Seminar paper (8-10 pages) or Presentation (+ written report of 5
pages) or written exam (90 Min.) or oral exam (20 Min.) in a)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 5/120
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Univ.-Prof. Dr. Heiner F. Klemme Haupt-
amtliche
Applicable to the following programs
Miscellaneous
Language: German
Further details can be found in the german
version of the module handbook
128
3.8 interdisciplinary Courses
3.8 interdisciplinary Courses
Modul 130 History of Natural Science I 08.275.130
Compulsory or elective module W
Credit points and workload 3 LP = 90 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture: Geschichte der Naturwissen-
schaft I V 1 P 2 SWS 69 h 3 LP
To complete the module, the following achievements must be made:
Presence
Active participation
Course achievements
Module examination Oral examination (20-30 Min)
Qualification and program goals / Competences
Course content
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 3/180 (BSc) or 3/120 (MSc)
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. Sauer
Applicable to the following programs BSc. Physik, MSc Physik
Miscellaneous
Course language: German (maybe English)
Further details can be found in the german
version of the module handbook
Modul 140 History of Natural Science II 08.275.140
Compulsory or elective module W
Credit points and workload 3 LP = 90 h
Duration according to the study plan 2
Courses and teaching methods Ty-
pe
Designated
term
Degree of
obligation
Contact
time
Self
study
Credit
points
Lecture: Geschichte der Naturwissen-
schaft II V 1 P 2 SWS 69 h 3 LP
To complete the module, the following achievements must be made:
Presence
Active participation
Course achievements
Module examination Oral examination (20-30 Min)
Qualification and program goals / Competences
Course content
129
3 Detailed description of the Modules and Courses
Modul 140 History of Natural Science II 08.275.140
Entry requirements
Recommended prerequisites
Language Course language German
Examination language German or English
Weighting of the achievement in the overall grade 3/180 (BSc) or 3/120 (MSc)
Module frequency Every semester
Reasons for compulsory attendance
Persons responsible for this module Prof. Dr. Sauer
Applicable to the following programs BSc. Physik, MSc Physik
Miscellaneous
Course language: German (maybe English)
Further details can be found in the german
version of the module handbook
130
