Group Theory for Physicists: With Applications

Pichai Ramadevi; Varun Dubey

doi:10.1017/9781108554862

Group theory helps readers in understanding the energy spectrum and the degeneracy of systems possessing discrete symmetry and continuous symmetry. The fundamental concepts of group theory and its applications are presented with the help of solved problems and exercises. The text covers two essential aspects of group theory, namely discrete groups and Lie groups. Important concepts including permutation groups, point groups and irreducible representation related to discrete groups are discussed with the aid of solved problems. Topics such as the matrix exponential, the circle group, tensor products, angular momentum algebra and the Lorentz group are explained to help readers in understanding the quark model and theory composites. Real-life applications including molecular vibration, level splitting perturbation, crystal field splitting and the orthogonal group are also covered. Application-oriented solved problems and exercises are interspersed throughout the text to reinforce understanding of the key concepts.

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Group Theory for Physicists

With Applications

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Contents

Frontmatter
pp i-iv

Contents
pp v-viii

List of Figures
pp ix-x

List of Tables
pp xi-xii

Preface
pp xiii-xiv

1 - Introduction
pp 1-17

2 - Molecular Symmetry
pp 18-28

3 - Representations of Finite Groups
pp 29-58

4 - Elementary Applications
pp 59-86

5 - Lie Groups and Lie Algebras
pp 87-114

6 - Further Applications
pp 115-150

Appendix A - Maschke's Theorem
pp 151-152

Appendix B - Schur's Lemma
pp 153-155

Bibliography
pp 156-156

Index
pp 157-159

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Group Theory for Physicists

With Applications

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