Symmetry groups in physics
News
- new: all chapters 1-45 are online, plus an all-in-one pdf
Examination
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The module concludes with an oral examination. You can choose between two examination periods. Dates for the first examination period are now available at
book exam date - Please select a date and enter your name and e-mail address. Your data will not be visible to other exam participants. However, dates that have already been booked will be shown as blocked (“nicht verfügbar”).
- You can cancel your date selection later and, if you wish, choose a new date, but only up to 3 days before the examination date.
- Dates for the second examination period, probably at the end of September, will be announced on this page from 11.8.
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Lecture Material
Lecture
- Mon 10:45 - 12:15, Notkestr. 9-11, SemRm 4064 (4-th floor), Campus Bahrenfeld
- Fri 10:30 - 12:00, Notkestr. 9-11, SemRm 4064 (4-th floor), Campus Bahrenfeld
Exercise class
- Mon 14:15-15:45, Notkestr. 9-11, SemRm 4064 (4-th floor), Campus Bahrenfeld
Literature
- G. Fischer: Lehrbuch der Algebra
- Brian C. Hall: Lie groups, Lie algebras, and Representations
- J. Schwichtenberg: Physics from Symmetry
- K.-H. Goldhorn, H.-P. Heinz, M. Kraus: Moderne mathematische Methoden der Physik, Bd. 2, Teil IV
- K. Sundermeyer: Symmetries in Fundamental Physics
- W. Kühnel: Matrizen und Lie-Gruppen
- M. Böhm: Lie-Gruppen und Lie-Algebren in der Physik
- M. S. Dresselhaus, G. Dresselhaus, A. Jorio: Group Theory: Application to the Physics of Condensed Matter
Overview of topics
- Symmetry concepts in various fields of physics.
- Basic concepts of mathematical group theory
- Examples of symmetry groups in classical and quantum mechanics
- Discrete groups, applications to geometry and in condensed matter theory
- Group actions, representation theory
- Topological groups, Lie groups and Lie algebras
- Applications to quantum theory of many-particle systems