## Group Theory: Application to the Physics of Condensed MatterEvery process in physics is governed by selection rules that are the consequence of symmetry requirements. The beauty and strength of group theory resides in the transformation of many complex symmetry operations into a very simple linear algebra. This concise and class-tested book has been pedagogically tailored over 30 years MIT and 2 years at the University Federal of Minas Gerais (UFMG) in Brazil. The approach centers on the conviction that teaching group theory in close connection with applications helps students to learn, understand and use it for their own needs. For this reason, the theoretical background is confined to the first 4 introductory chapters (6-8 classroom hours). From there, each chapter develops new theory while introducing applications so that the students can best retain new concepts, build on concepts learned the previous week, and see interrelations between topics as presented. Essential problem sets between the chapters also aid the retention of the new material and for the consolidation of material learned in previous chapters. The text and problem sets have proved a useful springboard for the application of the basic material presented here to topics in semiconductor physics, and the physics of carbon-based nanostructures. |

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It is very hard for me!!!! I have been befuddle all the time!!!

### Contents

Introduction | 3 |

Representation Theory and Basic Theorems | 15 |

Character of a Representation | 29 |

Basis Functions 57 | 56 |

Splitting of Atomic Orbitals in a Crystal Potential 79 | 77 |

Application to Selection Rules and Direct Products | 97 |

Electronic States of Molecules and Directed Valence 113 | 112 |

Molecular Vibrations Infrared and Raman Activity | 147 |

SpinOrbit Interaction in Solids and Double Groups | 337 |

Application of Double Groups to Energy Bands with Spin | 367 |

Time Reversal Symmetry 403 | 402 |

Permutation Groups and ManyElectron States | 431 |

Symmetry Properties of Tensors | 455 |

A Point Group Character Tables | 479 |

B TwoDimensional Space Groups 489 | 488 |

Tables for 3D Space Groups | 499 |

Space Groups in Real Space 183 | 180 |

Space Groups in Reciprocal Space and Representations | 209 |

Applications to Lattice Vibrations 241 | 239 |

Electronic Energy Levels in a Cubic Crystals | 279 |

Energy Band Models Based on Symmetry 305 | 304 |

### Other editions - View all

Group Theory: Application to the Physics of Condensed Matter Mildred S. Dresselhaus,Gene Dresselhaus,Ado Jorio No preview available - 2009 |

Group Theory: Application to the Physics of Condensed Matter Mildred S. Dresselhaus,Gene Dresselhaus,Ado Jorio No preview available - 2010 |