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

Résumé :
This classic book gives, in extensive tables, the irreducible representations of the crystallographic point groups and space groups. These are useful in studying the eigenvalues and eigenfunctions of a particle or quasi-particle in a crystalline solid. The theory is extended to the corepresentations of the Shubnikov groups.

Biographie:
Arthur P Cracknell graduated in Physics from the University of Cambridge in 1961, took his DPhil from the University of Oxford in 1964 and worked in the Physics Departments of the University of Singapore and the University of Essex before moving to Dundee as senior lecturer in 1970. He was promoted to Reader in 1974 and to Professor of Theoretical Physics in 1978 and later was transferred to the Carnegie Chair of Physics in the Department of Applied Physics and Electronic & Mechanical Engineering at Dundee University. He retired in 2002. He has won the Society Medal, The Remote Sensing Society, 1989; the Schiwefdsky Medal of the German Photogrammetric Society/ISPRS, 1996, and the President's award, Remote Sensing Society, 1996. Christopher J Bradley won the Mayhew Prize for Distinction in Applied Mathematics, Cambridge, in 1959, before becoming Fellow in Applied Mathematics, Jesus College and CUF Lecturer in Mathematics, Oxford 1963-80. He later joined the teaching profession, and was Head of Mathematics, then Director of Studies, at Clifton College, Bristol, 1981-2003. He is a Fellow of the Institute of Mathematics and its Applications.

Sommaire:
1. Symmetry and the Solid State ; 2. Symmetry-Adapted Functions for the Point Groups ; 3. Space Groups ; 4. The Representations of a Group in Terms of the Representations of an Invariant Subgroup ; 5. The Single-Valued Representations of the 230 Space Groups ; 6. The Double-Valued Representations of the 32 Point Groups and the 230 Space Groups ; 7. The Magnetic Groups and their Corepresentations