Group Theory and Physics

ISBN-13: 9780521558853 / Angielski / Miękka / 1995 / 444 str.

Shlomo Sternberg

Opis

This book is an introduction to group theory and its application to physics. The author considers the physical applications and develops mathematical theory in a presentation that is unusually cohesive and well-motivated. The book discusses many modern topics including molecular vibrations, homogeneous vector bundles, compact groups and Lie groups, and there is much discussion of the group SU(n) and its representations, which is of great significance in elementary particle physics. The author also considers applications to solid-state physics. This is an essential resource for senior undergraduates and researchers in physics and applied mathematics.

Recenzje

'This is a remarkable book … The author shows how physical considerations lead naturally to mathematical notions and their investigations, and how mathematical achievements influence the development of physics … I can strongly recommend the book.' European Mathematical Society Newsletter

Spis treści

1. Basic definitions and examples; 2. Representation theory of finite groups; 3. Molecular vibrations and homogeneous vector bundles; 4. Compact groups and Lie groups; 5. Irreducible representations of SU(n); Appendixces; Further reading; Index.