Contents & Literature

Contents of the lecture:

• Introduction
• Survey over symmetries in physical systems
• the concept of symmetry
• typical examples of the consequences of symmetry
• Introduction to groups and their representations with applications
• Covariance of the laws of physics
• Noether's Theorem
• various applications of the concept of symmetry in physics

Literature:

• M. Böhm: Symmetrien in der Festkörperphysik, Wiley-VCH (2002)
• G.J. Bradley, A.P. Cracknell: The Mathematical Theory of Symmetries in Solids, Clarendon, Oxford (1972)
• W. Greiner, B. Müller: Quantum Mechanics, Symmetries, Springer (1992)
• S.H. Kim: Group Theoretical Methods, Cambridge University Press (1999)
• W. Ludwig, C. Falter: Symmetries in Physics, Springer (1988, 1996)
• M. Wagner: Gruppentheoretische Methoden in der Physik, Vieweg (1998)
• E.P. Wigner: Group Theory and its Applications to Quantum Mechanics of Atomic Spectra, Academic Press (1959)