- 群论--凝聚态物理中的应用(影印版)(英文版)/引进系列/中外物理学精品书系
- - 作者：(美)M.S.德雷塞尔豪斯//G.德雷塞尔豪斯//(巴西)A.约里奥|责编:刘啸
  - 出版社：北京大学
  - ISBN：9787301313770
  - 出版日期：2020/07/01
  - 页数：582
- 售价：51.2

内容大纲
本书是关于群论，特别是点群、空间群、置换群以及他们在凝聚态物理中的应用的专著，同时也是该领域的研究生教材。本书内容非常丰富，远超出了一般研究生教材的范围。具体内容包括群的定义和性质、群表示理论的基本定义和定理、群函数、量子力学与群论（包含能级劈裂、选择定则等）、分子系统与群论、分子振动、红外与拉曼活性、晶格对称性、实空间和倒空间的空间群及表示、电子声子色散关系、能带模型、固体中的旋轨耦合、双群、有自旋的能带分析、时间反演对称性、置换群和多电子态张量对称性等，并且在附录中给出了点群、空间群、双群的相关表格。
本书适合从事凝聚态物理科研工作的读者参考，也可作为物理学相关专业研究生的教材。
作者介绍
目录
Part I Basic Mathematics
  1 Basic Mathematical Background: Introduction
    1.1 Definition of a Group
    1.2 Simple Example of a Group
    1.3 Basic Definitions
    1.4 Rearrangement Theorem
    1.5 Cosets
    1.6 Conjugation and Class
    1.7 Factor Groups
    1.8 Group Theory and Quantum Mechanics
  2 Representation Theory and Basic Theorems
    2.1 Important Definitions
    2.2 Matrices
    2.3 Irreducible Representations
    2.4 The Unitarity of Representations
    2.5 Schur's Lemma (Part 1)
    2.6 Schur's Lemma (Part 2)
    2.7 Wonderful Orthogonality Theorem
    2.8 Representations and Vector Spaces
  3 Character of a Representation
    3.1 Definition of Character
    3.2 Characters and Class
    3.3 Wonderful Orthogonality Theorem for Character
    3.4 Reducible Representations
    3.5 The Number of Irreducible Representations
    3.6 Second Orthogonality Relation for Characters
    3.7 Regular Representation
    3.8 Setting up Character Tables
……
  4 Basis Functions
Part II Introductory Application to Quantum Systems
  5 Splitting of Atomic Orbitals in a Crystal Potential
  6 Application to Selection Rules and Direct Products
Part III Molecular Systems
  7 Electronic States of Molecules and Directed Valence
  8 Molecular Vibrations, Infrared, and Raman Activity
Part IV Application to Periodic Lattices
  9 Space Groups in Real Space
  10 Space Groups in Reciprocal Space and Representations
Part V Electron and Phonon Dispersion Relation
  11 Applications to Lattice Vibrations
  12 Electronic Energy Levels in a Cubic Crystals
  13 Energy Band Models Based on Symmetry
  14 Spin–Orbit Interaction in Solids and Double Groups
  15 Application of Double Groups to Energy Bands with Spin
Part VI Other Symmetries
  16 Time Reversal Symmetry
  17 Permutation Groups and Many-Electron States
  18 Symmetry Properties of Tensors
  A Point Group Character Tables

  B Two-Dimensional Space Groups
  C Tables for 3D Space Groups
  D Tables for Double Groups
  E Group Theory Aspects of Carbon Nanotubes
  F Permutation Group Character Tables
References
Index

内容大纲

作者介绍

目录

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