群论和物理学(英文版)

群论和物理学(英文版) 下载 mobi epub pdf 电子书 2024


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发表于2024-11-05

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出版社: 世界图书出版公司
ISBN:9787506249652
版次:1
商品编码:10758668
包装:平装
出版时间:2000-04-01
用纸:胶版纸
页数:429


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内容简介

Group theory is one of the great achievements of 19th century mathematics. It emerged as a unifying idea drawing on four different sources: number theory, the theory of equations, geometry, and crystallography. The early motivation from number theory stemmed from the work of Euler, Legendre and Gauss on power residues. In the theory of equations, the study of various permutation groups became increasingly important through the work of Lagrange, Ruffini, Gauss, Abel, Cauchy, and especially Galois. The discovery of new types of geometries-including non-Euclidean, affine, projective etc.-led, eventually, to the famous Erlangen program of Klein, which proposed that the true study of any geometry lies in an analysis of its group of motions. In crystallography, the possible symmetries of the internal structure of a crystal were enumerated long before there was any possibility of its physical determination (by X-ray analysis).

目录

Preface
1 Basic definitions and examples
1.1 Groups: definition and examples
1.2 Homomorphisms: the relation between SL 2, and the Lorentz group
1.3 The action of a group on a set
1.4 Conjugation and conjugacy classes
1.5 Applications to crystallography
1.6 The topology of SU 2 and SO 3
1.7 Morphisms
1.8 The classification of the finite subgroups of SO 3
1.9 The classification of the finite subgroups of O 3
1.10 The icosahedral group and the fullerenes

2 Representation theory of finite groups
2.1 Definitions, examples, irreducibility
2.2 Complete reducibility
2.3 Schur's lemma
2.4 Characters and their orthogonality relations
2.5 Action on function spaces
2.6 The regular representation
2.7 Character tables
2.8 The representations of the symmetric group

3 Molecular vibrations and homogeneous vector bundles
3.1 Small oscillations and group theory
3.2 Molecular displacements and vector bundles
3.3 Induced representations
3.4 Principal bundles
3.5 Tensor products
3.6 Representative operators and quantum mechanical selection rules
3.7 The semiclassical theory of radiation
3.8 Semidirect products and their representations
3.9 Wigner's classification of the irreducible representations of the Poincare group
3.10 Parity
3.11 The Mackey theorems on induced representations, with applications to the symmetric group
3.12 Exchange forces and induced representations

4 Compact groups and Lie groups
4.1 Haar measure
4.2 The Peter-Weyl theorem
4.3 The irreducible representations of SU 2
4.4 The irreducible representations of SO 3 and spherical harmonics
4.5 The hydrogen atom
4.6 The periodic table
4.7 The shell model of the nucleus
4.8 The Clebsch-Gordan coefficients and isospin
4.9 Relativistic wave equations
4.10 Lie algebras
4.11 Representations of su 2

5 The irreducible representations of SU n
5.1 The representation of Gl V on the r-fold tensor product
5.2 Gl V spans Hornsr TrV, TrV
5.3 Decomposition of TrV into irreducibles
5.4 Computational rules
5.5 Description of tensors belonging to W
5.6 Representations of Gl V and Sl V on U
5.7 Weight vectors
5.8 Determination of the irreducible finite-dimensional repre-sentations of Sl d, C
5.9 Strangeness
5.10 The eight-fold way
5.11 Quarks
5.12 Color and beyond
5.13 Where do we stand

Appendix A The Bravais lattices and the arithmetical crystal classes
A.1 The lattice basis and the primitive cell
A.2 The 14 Bravais lattices
Appendix B Tensor product
Appendix C Integral geometry and the representations of the symmetric group
C.1 Partition pairs
C.2 Proof of the main combinatorial lemma
C.3 The Littlewood-Richardson rule and Young's rule
C.4 The ring of virtual representations of all the Sn
C.5 Dimension formulas
C.6 The Murnaghan-Nakayama rule
C.7 Characters of Gl V
AppendixD Wigner's theorem on quantum mechanical symmetries
Appendix E Compact groups, Haar measure, and the Peter-Weyl theorem
Appendix F A history of 19th century spectroscopy
Appendix G Characters and fixed point formulas for Lie groups
Further reading
Index

前言/序言



群论和物理学(英文版) 下载 mobi epub pdf txt 电子书 格式

群论和物理学(英文版) mobi 下载 pdf 下载 pub 下载 txt 电子书 下载 2024

群论和物理学(英文版) 下载 mobi pdf epub txt 电子书 格式 2024

群论和物理学(英文版) 下载 mobi epub pdf 电子书
想要找书就要到 图书大百科
立刻按 ctrl+D收藏本页
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用户评价

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不错的书。。。。。

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工具书系列!!!!!!!!!!!!

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看起来有点艰涩,可能是专业的缘故吧

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还行吧,纸的质量不怎么好,可以接受

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书很好,还没看,先收藏着。

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正版,内容专业,不错的群论书。。。。。。。。。

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还行吧,纸的质量不怎么好,可以接受

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不错的书,长期收藏了

评分

这个应该算经典了,值得购买

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