## Groups, Representations and Physics Hbk,The representation theory of groups is an extremely useful mathematical framework to use when considering the action of symmetry transformations on quantum systems. This book gives you a mathematically rigorous explanation of the theory, but also includes many examples and illustrations of its uses, especially in solid state and molecular physics. Also included is a chapter on gauge groups. There are problems at the end of each chapter; solutions are given. Aimed primarily at final-year physics undergraduates with a good mathematical background, but also useful to first year postgraduates in solid state, atomic or elementary particle physics. |

### What people are saying - Write a review

We haven't found any reviews in the usual places.

### Contents

Introduction | 1 |

General Properties of Groups and Mappings | 19 |

Group Representations | 35 |

Copyright | |

13 other sections not shown

### Other editions - View all

### Common terms and phrases

according acting additional angle angular momentum antisymmetric application atom axis basis becomes Chapter character combination completely components condition conjugacy classes conjugate consider consisting construct coordinates corresponding cosets decomposition defined definition derivative direction eigenstates eigenvalues electrons elements energy equation equivalent example expressed fact factor field figure finite follows function gauge given gives Hence identity independent indices integral interaction invariant irreducible irreps labelled linear Lorentz lower mapping matrix matrix elements means multiplication namely normal notation Note obtain operator orthogonal particle particular permutation physical position possible potential problem quantum mechanics reducible referred relation representation represented respectively result rotation satisfy scattering Show side simple space structure subgroup symmetry tensor theory tion transformation unit unitary upper wave wavefunction write written