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physics751: Group Theory (for Physicists)

Physics751: Group Theory (for Physicists) Christoph L AVZ 124, Phone 73 3163 16, 2010 Contents1 About These Notes .. Time and Place .. Tutorials .. Exam and Requirements .. Literature ..62 Groups: General Motivation: Why Group Theory ? .. Definition, Examples .. Examples .. Subgroups and Cosets .. Conjugates, Normal Subgroups .. Quotient Groups .. Group Homomorphisms .. Product Groups .. Summary ..213 General Group Actions .. Representations .. Unitarity .. Reducibility .. Direct Sums and Tensor Products .. Schur s Lemma .. Eigenstates in Quantum Mechanics .. Tensor Operators, Wigner Eckart Theorem .. Tensor Operators .. Matrix elements of Tensor Operators .. Summary ..364 discrete The Symmetric Group .

a nice chapter on discrete groups. • M. Hamermesh, “Group Theory and Its Application to Physical Problems,” Addison–Wesley Publishing (1962) A classical reference, in particular for discrete groups and applications in quantum mechanics. • H. Weyl,“Quantum mechanics and group theory,” Z. Phys. 46 (1927) 1.

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