Geometric Quantization
Seiten
1992
|
2nd Revised edition
Clarendon Press (Verlag)
978-0-19-853673-4 (ISBN)
Clarendon Press (Verlag)
978-0-19-853673-4 (ISBN)
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A survey of the geometric quantization theory of Kostant and Souriau, which was introduced more than twenty years ago.
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.
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.
Symplectic geometry; Lagrangian and Hamiltonian mechanics; symmetry; Hamilton-Jacobi theory; complex polarizations; elementary relativistic systems; classical fields; prequantization; quantization; the metaplectic correction.
| Erscheint lt. Verlag | 31.3.1992 |
|---|---|
| Zusatzinfo | line drawings, bibliography |
| Verlagsort | Oxford |
| Sprache | englisch |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Geometrie / Topologie |
| Naturwissenschaften ► Physik / Astronomie ► Quantenphysik | |
| ISBN-10 | 0-19-853673-9 / 0198536739 |
| ISBN-13 | 978-0-19-853673-4 / 9780198536734 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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