The Mathematical Theory of Symmetry in Solids - Representation Theory for Point Groups and Space Groups (Paperback, Revised)

This book gives the complete theory of the irreducible representations of the crystallographic point groups and space groups. This is important in the quantum-mechanical study of a particle or quasi-particle in a molecule or crystalline solid because the eigenvalues and eigenfunctions of a system belong to the irreducible representations of the group of symmetry operations of that system. The theory is applied to give complete tables of these representations for all the 32 point groups and 230 space groups, including the double-valued representations. For the space groups, the group of the symmetry operations of the k vector and its irreducible representations are given for all the special points of symmetry, lines of symmetry and planes of symmetry in the Brillouin zone. Applications occur in the electronic band structure, phonon dispersion relations and selection rules for particle-quasiparticle interactions in solids. The theory is extended to the corepresentations of the Shubnikov (black and white) point groups and space groups.

General

Imprint:	Oxford UniversityPress
Country of origin:	United Kingdom
Series:	Oxford Classic Texts in the Physical Sciences
Release date:	December 2009
First published:	February 2010
Authors:	Christopher Bradley • Arthur Cracknell
Dimensions:	244 x 189 x 36mm (L x W x T)
Format:	Paperback
Pages:	768
Edition:	Revised
ISBN-13:	978-0-19-958258-7
Categories:	Books > Science & Mathematics > Chemistry > Crystallography Books > Science & Mathematics > Mathematics > Algebra > Groups & group theory Books > Science & Mathematics > Mathematics > Applied mathematics > General Books > Science & Mathematics > Physics > States of matter > Condensed matter physics (liquids & solids) Books > Science & Mathematics > Chemistry > Physical chemistry > General
LSN:	0-19-958258-0
Barcode:	9780199582587

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