Group Theory Application to the Physics of Condensed Matter /
Every 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 pedagogi...
| Main Authors: | , , |
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| Corporate Author: | |
| Language: | English |
| Published: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2008.
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| Edition: | 1st ed. 2008. |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/978-3-540-32899-5 |
Table of Contents:
- Basic Mathematics
- Basic Mathematical Background: Introduction
- Representation Theory and Basic Theorems
- Character of a Representation
- Basis Functions
- Introductory Application to Quantum Systems
- Splitting of Atomic Orbitals in a Crystal Potential
- Application to Selection Rules and Direct Products
- Molecular Systems
- Electronic States of Molecules and Directed Valence
- Molecular Vibrations, Infrared, and Raman Activity
- Application to Periodic Lattices
- Space Groups in Real Space
- Space Groups in Reciprocal Space and Representations
- Electron and Phonon Dispersion Relation
- Applications to Lattice Vibrations
- Electronic Energy Levels in a Cubic Crystals
- Energy Band Models Based on Symmetry
- Spin–Orbit Interaction in Solids and Double Groups
- Application of Double Groups to Energy Bands with Spin
- Other Symmetries
- Time Reversal Symmetry
- Permutation Groups and Many-Electron States
- Symmetry Properties of Tensors.