Diagram Techniques in Group Theory

This book, first published in 1990, gives a general account of diagram manipulation techniques.

Geoffrey E. Stedman (Author)

9780521119702, Cambridge University Press

Paperback, published 17 September 2009

324 pages
22.9 x 15.2 x 1.8 cm, 0.48 kg

This book, first published in 1990, gives a general account of diagram manipulation techniques, as alternatives to algebraic methods of proof, in theoretical physics. Methods reviewed by the author include the popular techniques pioneered by Jucys and collaborators in the quantum theory of angular momentum and by Feynman in quantum field theory. The reader is encouraged to become bilingual in that many steps in the argument are presented as Problems, and are immediately followed by solutions and by comments on the method or proof and the significance of the results. This book will be of value to graduate students and research workers in theoretical solid state physics, atomic, molecular, nuclear and particle physics and theoretical chemistry.

Preface
1. Elementary examples
2. Angular momentum coupling diagram techniques
3. Extension to compact simple phase groups
4. Symmetric and unitary groups
5. Lie groups and Lie algebras
6. Polarisation dependence of multiphoton processes
7. Quantum field theoretic diagram techniques for atomic systems
8. Applications
Appendix
References
Indexes.

Subject Areas: Quantum physics [quantum mechanics & quantum field theory PHQ]