Applications of Group Theory in Quantum Mechanics

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5-8360-0450-1.
2002
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The book offers a self-contained description of the theory of finite and continuous groups, and their representations, applied to problems from various areas of quantum mechanics, such as the theory of atoms, quantum chemistry, the theory of solids, and relativistic quantum mechanics.

Special attention is paid to the analysis of symmetries of Shroedinger's wave function, and to an explanation of the "additional" degeneracies in a Coulomb field. These, and some other topics which are examined in detail in the book, are difficult to find elsewhere in the literature.

Compared to the previous edition, the book contains the classification of point groups according to Weyl, and a demonstration of the Wigner-Eckart theorem together with its application to the Zeeman effect.