285440 Symmetries in Physics (V) (WiSe 2022/2023)

"Symmetries in Physics" is an incredibly rich subject.
This lecture aims to provide the tools how symmetries can be put in use
both in fundamental physics (relativity, particle physics) and in applications
in classical and quantum physics.

Content:
1) Introduction: Examples of Symmetries in Physics
2) Group Theory
- Axioms and Definitions
- Relations Between Groups
- Finite Groups
- Continuous Groups
3) Applications of Group Theory
- Galilei, Lorentz and Poincare Group
- Relativistic Field Theory
4) Representation Theory
- Reducible and Irreducible Representations
- Tensor Product Representations
- Characters and Lemma of Schur
- Representations of Finite Groups
- Representations of Lie Groups
5) Applications of Representation Theory
- Quantum Mechanics
- Hadrons, Particle Physics

The course material and exercises are provided in Lernraum Plus

Requirements for participation, required level

Classical Mechanics
Quantum Mechanics

Bibliography

H.F. Jones, Groups, Representations and Physics, Taylor & Francis 1998.
J.F. Cornwell, Group Theory in Physics, Vol. I and II, Academic Press 1984.
W. Ludwig and C. Falter, Symmetries in Physics, Springer 1995.
H.Georgi, Lie Algebras in Particle Physics, Reading, Benjamin 1982
W.K. Tung, Group Theory in Physics, World Scientific, 1985

External comments page

https://www.physik.uni-bielefeld.de/~wunger/symmetries_ws22/