Geometric quantization
著者
書誌事項
Geometric quantization
（Oxford mathematical monographs）
Clarendon Press , Oxford University Press, 1992, c1991
2nd ed
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421.5-W86//414.7923006469,10092300647,10092301715,10092301716,10092304454,10093303401
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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 than 20 years ago. It has given valuable and lasting insights in to the relationship between classical and quantum systems. It continues to be a popular research topic. The ideas have proved useful in pure mathematics, notably in representation theory, as well as in theoretical physics. The most recent applications have been in conformal field theory and in the Jones-Witten theory of knots. The original edition of this book was published in 1980. For this edition it has been completely revised and extensively rewritten. The presentation has been simplified and a large number of examples have been added. The material on field thoery has been expanded.
目次
- Symplectic geometry
- Lagrangian and Hamiltonian mechanics
- symmetry
- Hamilton-Jacobi theory
- complex polarizations
- elementary relativistic systems
- classical fields
- prequantization
- quantization
- the metaplectic correction.
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