Description
Oxford Geometric Quantization by N. M. J. Woodhouse
The geometric approach to quantization was introduced by Kostant and Souriau more that twenty years ago. It has given valuable and lasting insights into the relationship between classical and quantum systems, and continues to be a popular research topic. The ideas have also proved useful in pure mathematics, noteably in representation theory, with the most recent applications occurring in conformal field theory and in the Jones-Witten theory of knots. For the second_x000D_edition of this successful monograph it has been completely revised and the presentation has been simplified. A large number of examples have been added and the material on field theory has been expanded._x000D_ Table of contents : - _x000D_
1. Symplectic geometry ; 2. Lagrangian and Hamiltonian mechanics ; 3. Symmetry ; 4. Hamilton-Jacobi theory ; 5. Complex polarization ; 6. Elementary relativistic systems ; 7. Classical fields ; 8. Prequantization ; 9. Quantization ; 10. The metaplectic correction ; Appendix ; Notes ; References ; Index of notation ; Index_x000D_