| Titre : |
Group Theory : Finite Discrete Groups and Applications |
| Type de document : |
texte imprimé |
| Auteurs : |
John Demetrius Vergados, Auteur ; Vasiliki-Ioanna Vergadou-Remediaki, Auteur |
| Editeur : |
Singapore : World scientific publishing |
| Année de publication : |
2023 |
| Importance : |
XIV-349 P. |
| Présentation : |
Relie, couv. ill en coul., graph |
| Format : |
23 cm |
| ISBN/ISSN/EAN : |
978-981-1274756-- |
| Langues : |
Anglais (eng) |
| Catégories : |
(02.10) Logique, theorie des ensembles et algebre, theorie des groupes
|
| Mots-clés : |
Group theory Symmetry |
| Index. décimale : |
02.10 |
| Résumé : |
1 The Role of Symmetries in Physics — A Prelude. - 2 Introduction to Discrete Groups. - 3 Discrete Groups — Basic Theorems. - 4 Elements of Representation Theory. - 5 Representation Reduction — Schur’s Lemmas — Character Tables. - 6 Simple Applications in Quantum Mechanics. - 7 Symmetries and Normal Modes of Oscillation. - 8 Space Groups. - 9 Irreducible Representations of Space Groups. - 10 Normal Modes in Crystals. - 11 The Symmetric Group Sn. - 12 Further Applications in Molecular Physics and Crystal Structure — Crystal Harmonics. - 13 Applications of Discrete Groups in Particle Physics. - 14 Exotic Discrete Groups for Quantum Mechanics — Field Theory. - 15 Appendix I: Proofs of Various Theorems. - 16 Appendix II: Representation Reduction Via a Chain of Group Operators. - 17 Appendix III: Generators and Character Tables of Point Groups |
