Symmetry and Condensed Matter Physics
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. Ideal for graduate students in condensed matter physics, materials science, and chemistry.
- Fuses symmetry, condensed matter and computational methods into one pedagogical textbook
- Contains over 150 exercises, with solutions available online at www.cambridge.org/9780521828451
- Adopts a computational approach to the application of group theoretical techniques in solving symmetry related problems
Reviews & endorsements
"This text blends three topics in physics: symmetry, condensed matter physics, and computational methods. It covers new concepts in mathematical crystallography, experimental methods capitalizing on symmetry aspects, nonconventional applications such as Fourier crystallography, and concepts and techniques behind the Landau theory of phase transitions. The text adopts and develops a computational approach to the application of group theoretical techniques for solving symmetry-related problems. This alleviates the need for the intensive calculations usually found in the presentation of symmetry. Sample programs, based on Mathematica, are presented throughout. The book contains 150 exercises (with answers on a web site), and can be used by graduate students in condensed matter physics, materials sciences, and chemistry. El-Batanouny teaches physics at Boston University. Wooten (1928-2004) was professor of physics and chair of the department of applied science at the University of California-Davis."
Book News, Inc.
"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
Product details
May 2008Hardback
9780521828451
936 pages
253 × 180 × 47 mm
1.96kg
160 b/w illus. 153 exercises
Available
Table of Contents
- 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.