作者简介 （美）M. S. 德雷塞尔豪斯（M. S. Dresselhaus），（美）G. 德雷塞尔豪斯（G. Dresselhaus）是美国麻省理工学院教授，在群论和凝聚态物理领域极富声望。（巴西）A. 约里奥（A. Jorio）为凝聚态物理领域有名专家，擅长用对称性的讨论来研究问题，因此对于群论的应用有很深刻的理解和很好丰富的经验。
目录 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?COrbit 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
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