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Relativity, Particles, and Fields

Module PH2040

This module handbook serves to describe contents, learning outcome, methods and examination type as well as linking to current dates for courses and module examination in the respective sections.

Module version of SS 2017

There are historic module descriptions of this module. A module description is valid until replaced by a newer one.

Whether the module’s courses are offered during a specific semester is listed in the section Courses, Learning and Teaching Methods and Literature below.

available module versions
SS 2022SS 2021SS 2020SS 2019SS 2018SS 2017SS 2016WS 2013/4SS 2011

Basic Information

PH2040 is a semester module in English or German language at Master’s level which is offered in summer semester.

This Module is included in the following catalogues within the study programs in physics.

  • Theory courses for nuclear, particle, and astrophysics
  • Complementary catalogue of special courses for condensed matter physics
  • Complementary catalogue of special courses for Biophysics
  • Complementary catalogue of special courses for Applied and Engineering Physics
  • Specialization Modules in Elite-Master Program Theoretical and Mathematical Physics (TMP)

If not stated otherwise for export to a non-physics program the student workload is given in the following table.

Total workloadContact hoursCredits (ECTS)
300 h 110 h 10 CP

Responsible coordinator of the module PH2040 in the version of SS 2017 was Andreas Weiler.

Content, Learning Outcome and Preconditions


  • Herleitung der Lorentztransformation aus dem Relativitaetsprinzip,
  • Relativistische Effekte: Lorentzkontraktion, Zeitdilatation,
  • Struktur der Lorentzgruppe und ihrer Liealgebra,
  • Darstellungen der Lorentzgruppe sowie ihrer Ueberlagerungsgruppe Sl(2,C),
  • Lorentzskalarfelder, Lorentzvektorfelder, Weyl-, Dirac- und Majorana-Spinoren,
  • Diracgleichung und ihre freien Teilchenloesungen,
  • Konzept und Quantisierung von relativistischen Feldern
  • Poincare-Gruppe, Einteilchenzustaende und Vielteilchen-Fockraum
  • Noether-Theorem und erhaltene Ladungen
  • Propagatoren und deren Bezug zur Kausalitaet
  • Schroedinger-, Heisenberg- und Wechselwirkungs-Bild
  • Stoerungstheorie, Wicksches Theorem, Feynman-Diagramme
  • Wirkungsquerschnitte und Zerfallsbreiten
  • Elementare Prozesse in der Quantenelektrodynamik auf Baumgraphen-Niveau
  • Techniken zur Auswertung von Spin- und Polarisationssummen

Learning Outcome


no info

Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VO 4 Relativity, Particles, and Fields Garbrecht, B. Tue, 10:00–12:00, PH HS2
Thu, 12:00–14:00, PH HS2
UE 2 Exercise to Relativity, Particles, and Fields
Responsible/Coordination: Garbrecht, B.
dates in groups eLearning

Learning and Teaching Methods


no info


no info

Module Exam

Description of exams and course work

There will be a written exam of 90 minutes duration. Therein the achievement of the competencies given in section learning outcome is tested exemplarily at least to the given cognition level using calculation problems and comprehension questions.

For example an assignment in the exam might be: Compton-Scattering

Participation in the exercise classes is strongly recommended since the exercises prepare for the problems of the exam and rehearse the specific competencies.

There will be a bonus (one intermediate stepping of "0,3" to the better grade) on passed module exams (4,3 is not upgraded to 4,0). The bonus is applicable to the exam period directly following the lecture period (not to the exam repetition) and subject to the condition that the student passes the mid-term of passing the voluntary test exam during the semester

Current exam dates

Currently TUMonline lists the following exam dates. In addition to the general information above please refer to the current information given during the course.

Exam to Relativity, Particles, and Fields
Tue, 2023-10-10, 11:00 till 12:30 Taurus 1
Taurus 1
till 2023-09-25 (cancelation of registration till 2023-10-03)
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