Geometric quantization
著者
書誌事項
Geometric quantization
（Oxford mathematical monographs）
Clarendon Press , Oxford University Press, 1997, c1991
2nd ed
- : pbk
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注記
Bibliography: p. [291]-300
Includes indexes
内容説明・目次
内容説明
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.
目次
- 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
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