Springer, 1996. — 409 p. — (Springer Series in Solid-State Sciences 78). — ISBN 3540604456.This textbook presents a careful introduction to group theory and its applications in atomic, molecular and solid-state physics. The reader is provided with the necessary background on the mathematical theory of groups and then shown how group theory is a powerful tool for solving physics problems. Worked examples and exercises with hints and answers encourage self-study, while the inclusion of some advanced subjects, such as the theory of induced representations and ray representations, Racah theory of atomic spectra, and Landau theory of second-order phase transitions, should interest professionals. Table of contents Symmetry and the Role of Group Theory Groups Vector Spaces Representations of a Group I Representations of a Group II Group Representations in Quantum Mechanics The Rotation Group Point Groups Electronic States of Molecules Molecular Vibrations Space Groups Electronic States in Crystals Time Reversal and Nonunitary Groups Landau’s Theory of Phase Transitions The Symmetric Group
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