VVZ API is not affiliated with ETH Zurich. Data might be outdated or incorrect. Please view the official ETHZ Vorlesungsverzeichnis for binding information.

402-0883-63L 6 Credits BSC , DR , MSC D-PHYS
You're viewing possible stale or outdated data. Please check the latest semester for more up-to-date information.

Symmetries in Physics

Lecturers & Examiners: Prof. Dr. Gian Michele Graf
VVZ CR n/a

Last Updated: 2026-02-05 16:29:49

Abstract

The course gives an introduction to symmetry groups in physics. Itexplains the relevant mathematical background (finite groups, Liegroups and algebras as well as their representations), and illustratestheir important role across modern physics.

Objective

The aim of the course is to give a self-contained introduction into finite group theory as well as Lie theory from a physicists point of view. Abstract mathematical constructions will be illustrated with examples from physics.

Content

Finite group theory, including representation theory and character methods; applications to crystallography and solid state physics. The symmetric group and the structure of its representations; applications to identical particles. Clifford algebras; application to relativistic wave equations equations. Simple Lie algebras and their finite-dimensional representations. Description of representations of SU(N) in terms of Young diagrams; applications in particle physics.

General Information

Language
English
Levels
BSC , DR , MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 25 minutes
Die effektive Prüfungsdauer beträgt nur 20min.Aufgrund 5min Pausen zwischen zwei Kandidaten, musste aus technischen Gründen 25min als Prüfungsdauer eingetragen werden.

Course Components

Type Title Time & Place Hours
lecture with exercise Symmetries in Physics
  • Wed 09:45-11:30 (HPV G 5)
  • Fri 08:45-09:30 (HPV G 5)
3 h weekly

Offered In