Mathematical aspects of Weyl quantization and phase:
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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World Scientific
c2000
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| Online-Zugang: | FAW01 FAW02 Volltext |
| Beschreibung: | Includes bibliographical references (p. 519-530) and index 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 |
| Beschreibung: | 1 Online-Ressource (xiv, 546 p.) |
| ISBN: | 9789810239190 9789812813459 981023919X 9812813454 |
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| 245 | 1 | 0 | |a Mathematical aspects of Weyl quantization and phase |c D.A. Dubin, M.A. Hennings, T.B. Smith |
| 246 | 1 | 3 | |a Weyl quantization and phase |
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| 500 | |a Includes bibliographical references (p. 519-530) and index | ||
| 500 | |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 | ||
| 500 | |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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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Dubin, D. A. |
| author_facet | Dubin, D. A. |
| author_role | aut |
| author_sort | Dubin, D. A. |
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| bvnumber | BV043119309 |
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| dewey-raw | 516.36 |
| dewey-search | 516.36 |
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| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| id | DE-604.BV043119309 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:18:01Z |
| institution | BVB |
| isbn | 9789810239190 9789812813459 981023919X 9812813454 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028543500 |
| oclc_num | 824698667 |
| open_access_boolean | |
| owner | DE-1046 DE-1047 |
| owner_facet | DE-1046 DE-1047 |
| physical | 1 Online-Ressource (xiv, 546 p.) |
| psigel | ZDB-4-EBA ZDB-4-EBA FAW_PDA_EBA |
| publishDate | 2000 |
| publishDateSearch | 2000 |
| publishDateSort | 2000 |
| publisher | World Scientific |
| record_format | marc |
| spelling | Dubin, D. A. Verfasser aut Mathematical aspects of Weyl quantization and phase D.A. Dubin, M.A. Hennings, T.B. Smith Weyl quantization and phase Singapore World Scientific c2000 1 Online-Ressource (xiv, 546 p.) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references (p. 519-530) and index 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 ELECTROMAGNETIC MEASUREMENT. nasat PHASE COHERENCE. nasat LASER BEAMS. nasat QUANTUM MECHANICS. nasat Quantisierung (Physik) swd Electronic measurements / Mathematics Weyl groups / Mathematics MATHEMATICS / Geometry / Differential bisacsh Geometric quantization fast Phase space (Statistical physics) fast Quantum theory / Mathematics fast Weyl groups fast Mathematik Quantentheorie Geometric quantization Phase space (Statistical physics) Weyl groups Quantum theory Mathematics Quantisierung Physik (DE-588)4176603-9 gnd rswk-swf Quantisierung Physik (DE-588)4176603-9 s 1\p DE-604 Hennings, M. A. Sonstige oth Smith, T. B. Sonstige oth http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=514062 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Dubin, D. A. Mathematical aspects of Weyl quantization and phase ELECTROMAGNETIC MEASUREMENT. nasat PHASE COHERENCE. nasat LASER BEAMS. nasat QUANTUM MECHANICS. nasat Quantisierung (Physik) swd Electronic measurements / Mathematics Weyl groups / Mathematics MATHEMATICS / Geometry / Differential bisacsh Geometric quantization fast Phase space (Statistical physics) fast Quantum theory / Mathematics fast Weyl groups fast Mathematik Quantentheorie Geometric quantization Phase space (Statistical physics) Weyl groups Quantum theory Mathematics Quantisierung Physik (DE-588)4176603-9 gnd |
| subject_GND | (DE-588)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 | ELECTROMAGNETIC MEASUREMENT. nasat PHASE COHERENCE. nasat LASER BEAMS. nasat QUANTUM MECHANICS. nasat Quantisierung (Physik) swd Electronic measurements / Mathematics Weyl groups / Mathematics MATHEMATICS / Geometry / Differential bisacsh Geometric quantization fast Phase space (Statistical physics) fast Quantum theory / Mathematics fast Weyl groups fast Mathematik Quantentheorie Geometric quantization Phase space (Statistical physics) Weyl groups Quantum theory Mathematics Quantisierung Physik (DE-588)4176603-9 gnd |
| topic_facet | ELECTROMAGNETIC MEASUREMENT. PHASE COHERENCE. LASER BEAMS. QUANTUM MECHANICS. Quantisierung (Physik) Electronic measurements / Mathematics Weyl groups / Mathematics MATHEMATICS / Geometry / Differential Geometric quantization Phase space (Statistical physics) Quantum theory / Mathematics Weyl groups Mathematik Quantentheorie Quantum theory Mathematics Quantisierung Physik |
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