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 2016 (current)

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

available module versions
SS 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.

  • Catalogue of required electives in theory for the Master programme Physics (Nuclear, Particle, and Astrophysics)
  • General catalogue of special courses
  • Specific catalogue of special courses for nuclear, particle, and astrophysics

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 is Michael Ratz.

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

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Courses, Learning and Teaching Methods and Literature

Courses and Schedule

VU 6 Relativity, Particles, and Fields Ratz, M.
Mitwirkende: Chakravorty, D.
Dienstag, 10:00–12:00
Donnerstag, 12:00–14:00
sowie Termine in Gruppen

Learning and Teaching Methods

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Module Exam

Description of exams and course work

In a written exam in 90 minutes the learning outcome is tested using comprehension questions and sample problems.

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 successfully participated in the tutorials.

In accordance with §12 (8) APSO the exam can be done as an oral examination. In this case the time duration is 30 minutes.

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.

Prüfung zu Relativität, Teilchen und Felder
Fr, 30.9.2016, 16:00 bis 17:30 Physik I: 2502
Studierende im Masterstudiengang Physik (Kern-, Teilchen- und Astrophysik) beachten die besonderen Hinweise zur Prüfungsanmeldung im Wahlpflichtfach theoretische Physik! // Students in the Master’s program Physics (Nuclear, Particle and Astrophysics) check the notice on exam registration for the required elective module in theoretical physics! bis 19.9.2016 (Abmeldung bis 23.9.2016)

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