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 Data might be outdated or incorrect.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 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You're viewing possible stale or outdated data.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 16:07:24

Abstract

The course gives an introduction to symmetry groups in physics. It explains the relevant mathematical background (finite groups, Lie groups and algebras as well as their representations), and illustrates their important role in 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; application to crystal field splitting. The symmetric group and the structure of its representations; application to identical particles and parastatistics. 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
DR , MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
oral 20 minutes

Course Components

Type Title Time & Place Hours
lecture with exercise Symmetries in Physics
  • Tue 11:45-13:30 (HPV G 5)
  • Wed 10:45-11:30 (HPV G 5)
3 h weekly

Offered In