The Mathematical Theory of Symmetry in Solids - Representation Theory for Point Groups and Space Groups

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.

Product details

• Authors: C. J. Bradley, Christopher Bradley, Christopher (Jesus College Bradley, Christopher/ Cracknell Bradley, Bradley Christopher, Arthur Cracknell, Arthur (Carnegie Laboratory of Physics Cracknell, Arthur P. Cracknell
• Publisher: Oxford University Press
• Languages: English
• Product format: Paperback / Softback
• Released: 10.12.2009
• EAN: 9780199582587
• ISBN: 978-0-19-958258-7
• No. of pages: 760
• Dimensions: 190 mm x 248 mm x 35 mm
• Series: Oxford Classic Texts in the Physical Sciences; Oxford Classic Texts in the Ph; Oxford Classic Texts in the Ph; Oxford Classic Texts in the Physical Sciences
• Subjects: Humanities, art, music > Linguistics and literary studies > General and comparative linguistics; Natural sciences, medicine, IT, technology; MATHEMATICS / Group Theory, SCIENCE / Physics / Condensed Matter, SCIENCE / Chemistry / Physical & Theoretical, SCIENCE / Physics / Mathematical & Computational, SCIENCE / Physics / Crystallography, Physical Chemistry, Crystallography, Mathematical physics, Groups & group theory, Groups and group theory