| Description |
1 online resource (xiv, 546 pages) |
| Physical Medium |
polychrome |
| Description |
text file |
| Bibliography |
Includes bibliographical references (pages 519-530) and index. |
| Contents |
pt. I. Fundamentals. ch. 1. Background -- ch. 2. Some remarks on classical mechanics -- ch. 3. The bounded model -- ch. 4. The smooth model -- ch. 5. Representations of the CCR -- ch. 6. Probability in quantum mechanics -- ch. 7. Dynamical systems -- ch. 8. Weyl quantization -- pt. II. Quantization and phase. ch. 9. Quantization in polar coordinates -- ch. 10. Phase operators -- ch. 11. The laser model -- ch. 12. Weyl dequantization -- ch. 13. The Moyal product -- ch. 14. Ordered quantization -- ch. 15. Asymptotics -- ch. 16. Measurements. |
| Summary |
This book analyzes in considerable generality the quantization-dequantization integral transform scheme of Weyl and Wigner, and considers several phase operator theories. It features: a thorough treatment of quantization in polar coordinates; dequantization by a new method of "motes"; a discussion of Moyal algebras; modifications of the transform method to accommodate operator orderings; a rigorous discussion of the Dicke laser model for one mode, fully quantum, in the thermodynamic limit; analysis of quantum phase theories based on the Toeplitz operator, the coherent state operator, the quantized phase space angle, and a sequence of finite rank operators. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Geometric quantization.
|
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Geometric quantization. |
|
Phase space (Statistical physics)
|
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Phase space (Statistical physics) |
|
Weyl groups.
|
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Weyl groups. |
|
Quantum theory -- Mathematics.
|
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Quantum theory -- Mathematics. |
| Genre/Form |
Electronic books.
|
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Electronic books.
|
| Added Author |
Hennings, M. A. (Mark A.), 1959-
|
|
Smith, T. B. (Thomas Buckley)
|
| Added Title |
Weyl quantization and phase |
| Other Form: |
Print version: Dubin, D.A. Mathematical aspects of Weyl quantization and phase. Singapore ; River Edge, NJ : World Scientific, ©2000 981023919X (OCoLC)45098462 |
| ISBN |
9789812813459 (electronic book) |
|
9812813454 (electronic book) |
|
981023919X |
|
9789810239190 |
|
