| Description |
1 online resource (xiv, 546 pages) |
| 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 |
| Bibliography |
Includes bibliographical references (pages 519-530) and index |
| Notes |
English |
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Print version record |
| Subject |
Geometric quantization.
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Phase space (Statistical physics)
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Weyl groups.
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Quantum theory -- Mathematics
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MATHEMATICS -- Geometry -- Differential.
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Geometric quantization
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Phase space (Statistical physics)
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Quantum theory -- Mathematics
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Weyl groups
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Quantisierung Physik
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ELECTROMAGNETIC MEASUREMENT.
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PHASE COHERENCE.
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LASER BEAMS.
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QUANTUM MECHANICS.
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| Form |
Electronic book
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| Author |
Hennings, M. A. (Mark A.), 1959-
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Smith, T. B. (Thomas Buckley)
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| ISBN |
9789812813459 |
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9812813454 |
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