Quantum physics, relativity, and complex spacetime: towards a new synthesis
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Amsterdam [u.a.]
North-Holland
1990
|
| Schriftenreihe: | North-Holland mathematics studies
163 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVI, 359 S. |
| ISBN: | 0444884653 |
Internformat
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Datensatz im Suchindex
| _version_ | 1804118491380318208 |
|---|---|
| adam_text | ix
CONTENTS
Preface xi
Suggestions to the Reader xvi
Chapter 1. Coherent—State Representations
1.1. Preliminaries 1
1.2. Canonical coherent states 9
1.3. Generalized frames and resolutions of unity 18
1.4. Reproducing kernel Hilbert spaces 29
1.5. Windowed Fourier transforms 34
1.6. Wavelet transforms 43
Chapter 2. Wavelet Algebras and Complex Structures
2.1. Introduction 57
2.2. Operational calculus 59
2.3. Complex structure 70
2.4. Complex decomposition and reconstruction 82
2.5. Appendix 92
Chapter 3. Frames and Lie Groups
3.1. Introduction 95
3.2. Klauder s group frames 95
3.3. Perelomov s homogeneous G frames 103
3.4. Onofri s s holomorphic G frames 113
3.5. The rotation group 135
3.6. The harmonic oscillator as a contraction limit 145
x Contents
Chapter 4. Complex Spacetime
4.1. Introduction 155
4.2. Relativity, phase space and quantization 156
4.3. Galilean frames 169
4.4. Relativistic frames 183
4.5. Geometry and Probability 207
4.6. The non relativistic limit 225
Notes 230
Chapter 5. Quantized Fields
5.1. Introduction 235
5.2. The multivariate Analytic Signal transform 239
5.3. Axiomatic field theory and particle phase spaces 249
5.4. Free Klein Gordon fields 273
5.5. Free Dirac fields 289
5.6. Interpolating particle coherent states 302
5.7. Field coherent states and functional integrals 308
Notes 318
Chapter 6. Further Developments
6.1. Holomorphic gauge theory 321
6.2. Windowed X Ray transforms: Wavelets revisited 334
References 347
Index 357
|
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| classification_rvk | SI 867 UK 1200 |
| ctrlnum | (OCoLC)260220927 (DE-599)BVBBV004300271 |
| discipline | Physik Mathematik |
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| id | DE-604.BV004300271 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T16:11:08Z |
| institution | BVB |
| isbn | 0444884653 |
| language | English |
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| physical | XVI, 359 S. |
| publishDate | 1990 |
| publishDateSearch | 1990 |
| publishDateSort | 1990 |
| publisher | North-Holland |
| record_format | marc |
| series | North-Holland mathematics studies |
| series2 | North-Holland mathematics studies |
| spelling | Kaiser, Gerald Verfasser aut Quantum physics, relativity, and complex spacetime towards a new synthesis Gerald Kaiser Amsterdam [u.a.] North-Holland 1990 XVI, 359 S. txt rdacontent n rdamedia nc rdacarrier North-Holland mathematics studies 163 Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Relativitätstheorie (DE-588)4049363-5 gnd rswk-swf Raum-Zeit (DE-588)4302626-6 gnd rswk-swf Relativistische Quantentheorie (DE-588)4177688-4 gnd rswk-swf Quantenfeldtheorie (DE-588)4047984-5 s Raum-Zeit (DE-588)4302626-6 s DE-604 Relativitätstheorie (DE-588)4049363-5 s Relativistische Quantentheorie (DE-588)4177688-4 s DE-188 North-Holland mathematics studies 163 (DE-604)BV000003247 163 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002674429&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Kaiser, Gerald Quantum physics, relativity, and complex spacetime towards a new synthesis North-Holland mathematics studies Quantenfeldtheorie (DE-588)4047984-5 gnd Relativitätstheorie (DE-588)4049363-5 gnd Raum-Zeit (DE-588)4302626-6 gnd Relativistische Quantentheorie (DE-588)4177688-4 gnd |
| subject_GND | (DE-588)4047984-5 (DE-588)4049363-5 (DE-588)4302626-6 (DE-588)4177688-4 |
| title | Quantum physics, relativity, and complex spacetime towards a new synthesis |
| title_auth | Quantum physics, relativity, and complex spacetime towards a new synthesis |
| title_exact_search | Quantum physics, relativity, and complex spacetime towards a new synthesis |
| title_full | Quantum physics, relativity, and complex spacetime towards a new synthesis Gerald Kaiser |
| title_fullStr | Quantum physics, relativity, and complex spacetime towards a new synthesis Gerald Kaiser |
| title_full_unstemmed | Quantum physics, relativity, and complex spacetime towards a new synthesis Gerald Kaiser |
| title_short | Quantum physics, relativity, and complex spacetime |
| title_sort | quantum physics relativity and complex spacetime towards a new synthesis |
| title_sub | towards a new synthesis |
| topic | Quantenfeldtheorie (DE-588)4047984-5 gnd Relativitätstheorie (DE-588)4049363-5 gnd Raum-Zeit (DE-588)4302626-6 gnd Relativistische Quantentheorie (DE-588)4177688-4 gnd |
| topic_facet | Quantenfeldtheorie Relativitätstheorie Raum-Zeit Relativistische Quantentheorie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002674429&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000003247 |
| work_keys_str_mv | AT kaisergerald quantumphysicsrelativityandcomplexspacetimetowardsanewsynthesis |