2008

Group Theory

Authors:

ISBN: 978-3-540-32897-1 (Print) 978-3-540-32899-5 (Online)

Table of contents (18 chapters)

  1. Front Matter

    Pages I-XV

  2. Basic Mathematics

    1. Front Matter

      Pages 1-1

    2. No Access

      Book Chapter

      Pages 3-13

      Basic Mathematical Background: Introduction

    3. No Access

      Book Chapter

      Pages 15-28

      Representation Theory and Basic Theorems

    4. No Access

      Book Chapter

      Pages 29-55

      Character of a Representation

    5. No Access

      Book Chapter

      Pages 57-75

      Basis Functions

  3. Introductory Application to Quantum Systems

    1. Front Matter

      Pages 77-77

    2. No Access

      Book Chapter

      Pages 79-95

      Splitting of Atomic Orbitals in a Crystal Potential

    3. No Access

      Book Chapter

      Pages 97-110

      Application to Selection Rules and Direct Products

  4. Molecular Systems

    1. Front Matter

      Pages 111-111

    2. No Access

      Book Chapter

      Pages 113-145

      Electronic States of Molecules and Directed Valence

    3. No Access

      Book Chapter

      Pages 147-178

      Molecular Vibrations, Infrared, and Raman Activity

  5. Application to Periodic Lattices

    1. Front Matter

      Pages 179-179

    2. No Access

      Book Chapter

      Pages 183-208

      Space Groups in Real Space

    3. No Access

      Book Chapter

      Pages 209-237

      Space Groups in Reciprocal Space and Representations

  6. Electron and Phonon Dispersion Relation

    1. Front Matter

      Pages 239-239

    2. No Access

      Book Chapter

      Pages 241-277

      Applications to Lattice Vibrations

    3. No Access

      Book Chapter

      Pages 279-303

      Electronic Energy Levels in a Cubic Crystals

    4. No Access

      Book Chapter

      Pages 305-336

      Energy Band Models Based on Symmetry

    5. No Access

      Book Chapter

      Pages 337-365

      Spin–Orbit Interaction in Solids and Double Groups

    6. No Access

      Book Chapter

      Pages 367-400

      Application of Double Groups to Energy Bands with Spin

  7. Other Symmetries

    1. Front Matter

      Pages 401-401

    2. No Access

      Book Chapter

      Pages 403-430

      Time Reversal Symmetry

    3. No Access

      Book Chapter

      Pages 431-454

      Permutation Groups and Many-Electron States

    4. No Access

      Book Chapter

      Pages 455-477

      Symmetry Properties of Tensors

  8. Back Matter

    Pages 479-582