資料來源: Google Book
Groups, representations, and physics
- 作者: Jones, H. F.
- 出版: Bristol ;Philadelphia : Institute of Physics Pub. 1998.
- 版本: 2nd ed.
- 稽核項: 1 online resource (xiii, 326 pages) :illustrations.
- 標題: Electronic books. , MATHEMATICS Algebra -- Intermediate. , Group theory. , AlgebraIntermediate. , Finite groups. , Mathematical physics. , Representação de grupos. , Continuous groups. , MATHEMATICS , Representations of groups. , Transformations (Mathematics)
- ISBN: 0367805790 , 9780367805791
- ISBN: 0750305053 , 9780750305051 , 0750305045 , 9780750305044
- 試查全文@TNUA:
- 附註: Includes bibliographical references (pages 291-292) and index. Chapter 1 Introduction -- chapter 2 General Properties of Groups and Mappings -- chapter 3 Group Representations -- chapter 4 Properties of Irreducible Representations -- chapter 5 Physical Applications -- chapter 6 Continuous Groups (SO(N)) -- chapter 7 Further Applications -- chapter 8 The SU(N) Groups and Particle Physics -- chapter 9 General Treatment of Simple Lie Groups -- chapter 10 Representations of the Poincare Group -- chapter 11 Gauge Groups -- chapter AppendixA Dirac Notation in Quantum Mechanics -- chapter AppendixB Eigenstates of Angular Momentum in Quantum Mechanics -- chapter AppendixC Group-invariant Measure for SO(3) -- chapter AppendixD Calculation of roots for SO(n) and Sp(2r) -- chapter AppendixE Covariant Normalization and Relativistic Scattering -- chapter AppendixF Lagrangian Mechanics -- chapter Problem Solutions -- chapter Glossary of Mathematical Symbols -- chapter 1. 1 Symmetry in physics; groups and representations.
- 摘要: Illustrating the fascinating interplay between physics and mathematics, this book provides a solid grounding in the theory of groups, and particularly of group representations. It gives the reader a firm grasp of the basics to enable further study.
- 電子資源: https://dbs.tnua.edu.tw/login?url=https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=27488
- 系統號: 005293944
- 資料類型: 電子書
- 讀者標籤: 需登入
- 引用網址: 複製連結
Illustrating the fascinating interplay between physics and mathematics, Groups, Representations and Physics, Second Edition provides a solid foundation in the theory of groups, particularly group representations. For this new, fully revised edition, the author has enhanced the book's usefulness and widened its appeal by adding a chapter on the Cartan-Dynkin treatment of Lie algebras. This treatment, a generalization of the method of raising and lowering operators used for the rotation group, leads to a systematic classification of Lie algebras and enables one to enumerate and construct their irreducible representations. Taking an approach that allows physics students to recognize the power and elegance of the abstract, axiomatic method, the book focuses on chapters that develop the formalism, followed by chapters that deal with the physical applications. It also illustrates formal mathematical definitions and proofs with numerous concrete examples.
來源: Google Book
來源: Google Book
評分