Symmetry and Condensed Matter Physics
A Computational Approach

Graduate textbook applying group theoretical techniques to solving symmetry related problems.

M. El-Batanouny (Author), F. Wooten (Author)

9780521828451, Cambridge University Press

Hardback, published 13 March 2008

936 pages, 160 b/w illus. 153 exercises
25.3 x 18 x 4.7 cm, 1.96 kg

"This well-written book is directed towards people who want a technical understanding of group theory and its concrete applications to many fields of solid state and condensed matter physics at a high level of description."
Jean-Yves Fortin, Mathematical Reviews

Unlike existing texts, this book blends for the first time three topics in physics - symmetry, condensed matter physics and computational methods - into one pedagogical textbook. It includes new concepts in mathematical crystallography; experimental methods capitalizing on symmetry aspects; non-conventional applications such as Fourier crystallography, color groups, quasicrystals and incommensurate systems; as well as concepts and techniques behind the Landau theory of phase transitions. Adopting a computational approach to the application of group theoretical techniques to solving symmetry related problems, it dramatically alleviates the need for intensive calculations usually found in the presentation of symmetry. Writing computer programs helps the student achieve a firm understanding of the underlying concepts, and sample programs, based on Mathematica, are presented throughout the book. Containing over 150 exercises, this textbook is ideal for graduate students in condensed matter physics, materials science, and chemistry. Solutions and computer programs are available online at www.cambridge.org/9780521828451.

Preface
1. Symmetry and physics
2. Symmetry and group theory
3. Group representations: concepts
4. Group representations: formalism and methodology
5. Dixon's method for computing group characters
6. Group action and symmetry projection operators
7. Construction of the irreducible representations
8. Product groups and product representations
9. Induced representations
10. Crystallographic symmetry and space-groups
11. Space groups: Irreps
12. Time-reversal symmetry: color groups and the Onsager relations
13. Tensors and tensor fields
14. Electronic properties of solids
15. Dynamical properties of molecules, solids and surfaces
16. Experimental measurements and selection rules
17. Landau's theory of phase transitions
18. Incommensurate systems and quasi-crystals
References
Bibliography
Index.

Subject Areas: Mathematical physics [PHU], Condensed matter physics [liquid state & solid state physics PHFC]