Geometric Quantization

Paperback | August 1, 1997

byN. M. J. Woodhouse

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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 inpure 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 largenumber of examples have been added and the material on field theory has been expanded.

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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 inpure mathematics, noteably in representation ...

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

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Format:PaperbackDimensions:320 pages, 9.21 × 6.14 × 0.71 inPublished:August 1, 1997Publisher:Oxford University Press

The following ISBNs are associated with this title:

ISBN - 10:0198502702

ISBN - 13:9780198502708

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Table of Contents

1. Symplectic geometry2. Lagrangian and Hamiltonian mechanics3. Symmetry4. Hamilton-Jacobi theory5. Complex polarization6. Elementary relativistic systems7. Classical fields8. Prequantization9. Quantization10. The metaplectic correctionAppendixNotesReferencesIndex of notationIndex

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`... an attractive presentation of a dynamic subject.' Mathematical Reviews