Lie groups and Lie algebras in physics
News
- Problem sheet no. 3 is online.
- Chapter L08 on Hamilton mechanics uploaded.
Lecture
- Mondays 14:15 - 15:45, Notkestr. 9-11, SemRm 4064 (4-th floor), Campus Bahrenfeld
- Thursdays 14:00 - 14:45, Notkestr. 9-11, SemRm 4064 (4-th floor), Campus Bahrenfeld
Exercise class
- Thursdays 14:45-15:30, Notkestr. 9-11, SemRm 4064 (4-th floor), Campus Bahrenfeld
Examination
- The module concludes with a written examination.
- You can choose between two examination dates: t.b.a.
Lecture Material
Literature
- Brian C. Hall: Lie groups, Lie algebras, and Representations
- J. Schwichtenberg: Physics from Symmetry
- K. Sundermeyer: Symmetries in Fundamental Physics
- R. Godement: Introduction to the Theory of Lie Groups
- K. Erdmann, M. J. Wildon: Introduction to Lie Algebras
- H. Georgi: Lie Algebras in Particle Physics
- M. S. Dresselhaus, G. Dresselhaus, A. Jorio: Group Theory: Application to the Physics of Condensed Matter
- M. Böhm: Lie-Gruppen und Lie-Algebren in der Physik
- G. Fischer: Lehrbuch der Algebra
Overview of topics
- Symmetry concepts in various fields of physics
- Examples of symmetry groups and group actions in classical and quantum mechanics
- Representations of Lie groups/algebras on single-particle Hilbert space, representations on many-particle Fock space
- Central concepts of Lie groups and Lie algebras, Lie correspondence
- Applications in classical physics, in quantum physics, field theory