Mathematical aspects of Weyl quantization and phase /:
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 di...
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| Main Author: | |
|---|---|
| Other Authors: | , |
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore ; River Edge, NJ :
World Scientific,
©2000.
|
| Subjects: | |
| Online Access: | DE-862 DE-863 |
| 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 |
| Physical Description: | 1 online resource (xiv, 546 pages) |
| Bibliography: | Includes bibliographical references (pages 519-530) and index. |
| ISBN: | 9789812813459 9812813454 |
Staff View
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| 505 | 0 | |a 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. | |
| 520 | |a 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 | ||
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| 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. |
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| publishDateSort | 2000 |
| publisher | World Scientific, |
| record_format | marc |
| spelling | Dubin, D. A. Mathematical aspects of Weyl quantization and phase / D.A. Dubin, M.A. Hennings, T.B. Smith. Weyl quantization and phase Singapore ; River Edge, NJ : World Scientific, ©2000. 1 online resource (xiv, 546 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references (pages 519-530) and index. Print version record. 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. 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 English. Geometric quantization. http://id.loc.gov/authorities/subjects/sh85054127 Phase space (Statistical physics) http://id.loc.gov/authorities/subjects/sh86000676 Weyl groups. http://id.loc.gov/authorities/subjects/sh95002984 Quantum theory Mathematics. Quantification géométrique. Espace des phases (Physique statistique) Groupes de Weyl. Théorie quantique Mathématiques. MATHEMATICS Geometry Differential. bisacsh Geometric quantization fast Phase space (Statistical physics) fast Quantum theory Mathematics fast Weyl groups fast Quantisierung Physik gnd http://d-nb.info/gnd/4176603-9 ELECTROMAGNETIC MEASUREMENT. nasat PHASE COHERENCE. nasat LASER BEAMS. nasat QUANTUM MECHANICS. nasat Electronic books. Hennings, M. A. (Mark A.), 1959- https://id.oclc.org/worldcat/entity/E39PCjwQgmYdfMt8HfD9Tjw8JC http://id.loc.gov/authorities/names/n90660409 Smith, T. B. (Thomas Buckley) https://id.oclc.org/worldcat/entity/E39PCjtWmwF73VGDKfQgpffF83 http://id.loc.gov/authorities/names/no2001042048 has work: Mathematical aspects of Weyl quantization and phase (Text) https://id.oclc.org/worldcat/entity/E39PCH6yDcM66CPpCtGqfW89Qm https://id.oclc.org/worldcat/ontology/hasWork Print version: Dubin, D.A. Mathematical aspects of Weyl quantization and phase. Singapore ; River Edge, NJ : World Scientific, ©2000 981023919X (OCoLC)45098462 |
| spellingShingle | Dubin, D. A. Mathematical aspects of Weyl quantization and phase / 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. Geometric quantization. http://id.loc.gov/authorities/subjects/sh85054127 Phase space (Statistical physics) http://id.loc.gov/authorities/subjects/sh86000676 Weyl groups. http://id.loc.gov/authorities/subjects/sh95002984 Quantum theory Mathematics. Quantification géométrique. Espace des phases (Physique statistique) Groupes de Weyl. Théorie quantique Mathématiques. MATHEMATICS Geometry Differential. bisacsh Geometric quantization fast Phase space (Statistical physics) fast Quantum theory Mathematics fast Weyl groups fast Quantisierung Physik gnd http://d-nb.info/gnd/4176603-9 ELECTROMAGNETIC MEASUREMENT. nasat PHASE COHERENCE. nasat LASER BEAMS. nasat QUANTUM MECHANICS. nasat |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85054127 http://id.loc.gov/authorities/subjects/sh86000676 http://id.loc.gov/authorities/subjects/sh95002984 http://d-nb.info/gnd/4176603-9 |
| title | Mathematical aspects of Weyl quantization and phase / |
| title_alt | Weyl quantization and phase |
| title_auth | Mathematical aspects of Weyl quantization and phase / |
| title_exact_search | Mathematical aspects of Weyl quantization and phase / |
| title_full | Mathematical aspects of Weyl quantization and phase / D.A. Dubin, M.A. Hennings, T.B. Smith. |
| title_fullStr | Mathematical aspects of Weyl quantization and phase / D.A. Dubin, M.A. Hennings, T.B. Smith. |
| title_full_unstemmed | Mathematical aspects of Weyl quantization and phase / D.A. Dubin, M.A. Hennings, T.B. Smith. |
| title_short | Mathematical aspects of Weyl quantization and phase / |
| title_sort | mathematical aspects of weyl quantization and phase |
| topic | Geometric quantization. http://id.loc.gov/authorities/subjects/sh85054127 Phase space (Statistical physics) http://id.loc.gov/authorities/subjects/sh86000676 Weyl groups. http://id.loc.gov/authorities/subjects/sh95002984 Quantum theory Mathematics. Quantification géométrique. Espace des phases (Physique statistique) Groupes de Weyl. Théorie quantique Mathématiques. MATHEMATICS Geometry Differential. bisacsh Geometric quantization fast Phase space (Statistical physics) fast Quantum theory Mathematics fast Weyl groups fast Quantisierung Physik gnd http://d-nb.info/gnd/4176603-9 ELECTROMAGNETIC MEASUREMENT. nasat PHASE COHERENCE. nasat LASER BEAMS. nasat QUANTUM MECHANICS. nasat |
| topic_facet | Geometric quantization. Phase space (Statistical physics) Weyl groups. Quantum theory Mathematics. Quantification géométrique. Espace des phases (Physique statistique) Groupes de Weyl. Théorie quantique Mathématiques. MATHEMATICS Geometry Differential. Geometric quantization Quantum theory Mathematics Weyl groups Quantisierung Physik ELECTROMAGNETIC MEASUREMENT. PHASE COHERENCE. LASER BEAMS. QUANTUM MECHANICS. Electronic books. |
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