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Inui T., Tanabe Y., Onodera Y. Group Theory and Its Applications in Physics

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Inui T., Tanabe Y., Onodera Y. Group Theory and Its Applications in Physics
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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