Geometric quantization
Author(s)
Bibliographic Information
Geometric quantization
（Oxford mathematical monographs）
Clarendon Press , Oxford University Press, 1992, c1991
2nd ed
Available at / 37 libraries
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421.5-W86//414.7923006469,10092300647,10092301715,10092301716,10092304454,10093303401
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science図書
dc20:530.1/w8572070228233
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Note
Bibliography: p. [291]-300
Includes indexes
Description and Table of Contents
Description
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.
Table of Contents
- Symplectic geometry
- Lagrangian and Hamiltonian mechanics
- symmetry
- Hamilton-Jacobi theory
- complex polarizations
- elementary relativistic systems
- classical fields
- prequantization
- quantization
- the metaplectic correction.
by "Nielsen BookData"