Symmetrien in der Physik
Instructors: apl. Prof. Dr. Georg von HippelShortname: 08.128.733
Course No.: 08.128.733
Course Type: Vorlesung/Übung
Requirements / organisational issues
Knowledge of Linear Algebra, classical field theory and (non-relativistic) Quantum Mechanics is expected.Digital teaching
There will be an accompanying course on moodle. Problem sheets will be handed out, in and back only via Moodle.Recommended reading list
- S. Scherer, Symmetrien und Gruppen in der Teilchenphysik (Springer Spektrum, 2016)
- H.F. Jones, Groups, Representations and Physics (IoP Publishing, 1998)
- A. Zee, Group Theory in a Nutshell for Physicists (Princeton University Press, 2016)
Contents
- Mathematical foundations: Groups and their properties, representations of groups, irreducible representations, Schur's lemmas, character tables, Clebsch-Gordan decomposition, Lie groups and Lie algebras, root systems and Dynkin diagrams, Young tableaux
- Physical applications: Noether's theorem, SO(3) and SU(2) for spin and isospin, Wigner-Eckart theorem, SO(4) and the Runge-Lenz vector, SU(3) and the "eightfold way", Poincaré group and relativistic particles, discrete symmetries
- Local symmetries: electromagnetism as a gauge theory, non-abelian gauge theories
- Broken symmetries: Goldstone's theorem, Higgs effect, anomalies in QFT
Dates
| Date (Day of the week) | Time | Location |
|---|---|---|
| 10/28/2025 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 10/31/2025 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 11/04/2025 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 11/07/2025 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 11/11/2025 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 11/14/2025 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 11/18/2025 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 11/21/2025 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 11/25/2025 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 11/28/2025 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 12/02/2025 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 12/05/2025 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 12/09/2025 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 12/12/2025 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 12/16/2025 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 12/19/2025 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 01/06/2026 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 01/09/2026 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 01/13/2026 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 01/16/2026 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 01/20/2026 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 01/23/2026 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 01/27/2026 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 01/30/2026 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 02/03/2026 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 02/06/2026 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 02/10/2026 (Tuesday) | 08:15 - 09:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |
| 02/13/2026 (Friday) | 12:15 - 13:45 | 01 128 Galilei-Raum 2413 - Neubau Physik/Mathematik |