Geometric Quantization (Oxford Mathematical Monographs 2nd Revised edition)

Geometric Quantization (Oxford Mathematical Monographs 2nd Revised edition)

By: N. M. J. Woodhouse (author)Paperback

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Description

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 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.

About Author

Dr N. M. J. Woodhouse, Wadham College, Oxford, OX1 3PN.

Contents

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

Product Details

  • ISBN13: 9780198502708
  • Format: Paperback
  • Number Of Pages: 320
  • ID: 9780198502708
  • weight: 494
  • ISBN10: 0198502702
  • edition: 2nd Revised edition

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