Group Theory and its Application in Physics

An introduction to group theory and its applications in atomic, molecular and solid-state physics, which presents the background of the mathematical theory of groups and explains how this theory can be applied to solve physics problems. Worked examples and exercises are used throughout.

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This textbook presents an 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 shown how group theory is a powerful tool for solving physics problems. Worked examples and exercises with hints and answers encourage self-study, while advanced subjects have also been included, such as the theory of induced representations and ray representations, Racah theory of atomic spectra, and Landau theory of second-order phase transitions.