中外物理学精品书系群论:凝聚态物理中的应用(影印版)

Part I Basic Mathematics
1 Basic Mathematical Background: Introduction . . . . . . . . . . . . . 3
2 Representation Theory and Basic Theorems . . . . . . . . . . . . . . . 15
3 Character of a Representation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29
4 Basis Functions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 57
Part II Introductory Application to Quantum Systems
5 Splitting of Atomic Orbitals in a Crystal Potential . . . . . . . . . 79
6 Application to Selection Rules and Direct Products . . . . . . . 97
Part III Molecular Systems
7 Electronic States of Molecules and Directed Valence . . . . . . . 113
8 Molecular Vibrations, Infrared, and Raman Activity. . . . . . . 147
Part IV Application to Periodic Lattices
9 Space Groups in Real Space . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 183
10 Space Groups in Reciprocal Space and Representations . . . . 209
Part V Electron and Phonon Dispersion Relation
11 Applications to Lattice Vibrations . . . . . . . . . . . . . . . . . . . . . . . . . 241
12 Electronic Energy Levels in a Cubic Crystals . . . . . . . . . . . . . . 279
13 Energy Band Models Based on Symmetry . . . . . . . . . . . . . . . . . 305
14 Spin–Orbit Interaction in Solids and Double Groups . . . . . . . 337
15 Application of Double Groups to Energy Bands with Spin . 367
Part VI Other Symmetries
16 Time Reversal Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 403
17 Permutation Groups and Many-Electron States . . . . . . . . . . . . 431
18 Symmetry Properties of Tensors . . . . . . . . . . . . . . . . . . . . . . . . . . . 455
A Point Group Character Tables . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 479
B Two-Dimensional Space Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . 489
C Tables for 3D Space Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 499
D Tables for Double Groups . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 521
E Group Theory Aspects of Carbon Nanotubes . . . . . . . . . . . . . . 533
F Permutation Group Character Tables . . . . . . . . . . . . . . . . . . . . . . 543
References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 549
Index . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 553