Symmetry groups in physics

News

• Script updated

Lecture Material

• Script, Problems

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