Geometric quantization:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford
Clarendon Press
1994
|
| Ausgabe: | 2. ed., reprinted |
| Schriftenreihe: | Oxford mathematical monographs
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 307 S. graph. Darst. |
| ISBN: | 0198536739 |
Internformat
MARC
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Datensatz im Suchindex
| _version_ | 1804125861562023936 |
|---|---|
| adam_text | GEOMETRIE QUANTIZATION SECOND EDITION N.M.J. WOODHOUSE MATHEMATICAL
INSTITUTE UNIVERSITY OF OXFORD CLARENDON PRESS * OXFORD CONTENTS 1
SYMPLECTIC GEOMETRY 1 1.1 SYMPLECTIC MANIFOLDS 1 1.2 SYMPLECTIC VECTOR
SPACES 1 1.3 THE SYMPLECTIC GROUP 5 1.4 DARBOUX S THEOREM 6 1.5
HAMILTONIAN VECTOR FIELDS 9 1.6 POISSON BRACKETS 11 1.7 SUBMANIFOLDS AND
REDUCTION 12 1.8 TIME-DEPENDENT HAMILTONIANS 13 2 LAGRANGIAN AND
HAMILTONIAN MECHANICS 16 2.1 HAMILTON S PRINCIPLE 16 2.2 MOMENTUM PHASE
SPACE 19 2.3 THE SPACE OF MOTIONS 20 2.4 TIME-DEPENDENT LAGRANGIANS 25
2.5 CONSTRAINTS 28 2.6 TRANSFORMATIONS OF THE LAGRANGIAN 35 3 SYMMETRY
38 3.1 SYMMETRY IN QUANTUM PHYSICS 38 3.2 THE MOMENT MAP 38 3.3 THE
COCYCLE CONDITION . 40 3.4 EXAMPLES 41 3.5 ELEMENTARY CLASSICAL SYSTEMS
49 3.6 DISCRETE TRANSFORMATIONS 56 3.7 MARSDEN-WEINSTEIN REDUCTION 57 4
HAMILTON-JACOBI THEORY 60 4.1 THE HAMILTON-JACOBI EQUATION 60 4.2
LAGRANGIAN SUBMANIFOLDS 61 4.3 CANONICAL TRANSFORMATIONS 62 4.4 THE
TWO-POINT CHARACTERISTIC FUNCTION 64 4.5 REAL POLARIZATIONS 65 4.6
COISOTROPIC FOLIATIONS 66 4.7 GEOMETRY OF REAL POLARIZATIONS 68 4.8
POLYNOMIALS AND INVARIANT POLARIZATIONS 75 4.9 GENERATING FUNCTIONS OF
REAL POLARIZATIONS 77 4.10 THE HAMILTON-JACOBI CONDITION 78 4.11
SEPARATION OF THE HAMILTON-JACOBI EQUATION 82 4.12 BIHAMILTONIAN SYSTEMS
86 CONTENTS 5 COMPLEX POLARIZATIONS 89 5.1 POLARIZATIONS AND
REPRESENTATIONS 89 5.2 COMPLEX STRUCTURES 89 5.3 COMPLEX LAGRANGIAN
SUBSPACES 90 5.4 COMPLEX POLARIZATIONS 92 5.5 INVARIANT POLARIZATIONS
102 6 ELEMENTARY RELATIVISTIC SYSTEMS 107 6.1 SPIN 107 6.2 TWO-COMPONENT
SPINORS 107 6.3 SPINORS AND TENSORS 110 6.4 THE LORENTZ GROUP 112 6.5
ELEMENTARY RELATIVISTIC SYSTEMS 114 6.6 MASSIVE PARTICLES 115 6.7 P, C,
AND T 119 6.8 MASSLESS PARTICLES 123 6.9 CLASSICAL PARTICLES IN CURVED
SPACE-TIME 127 7 CLASSICAL FIELDS 130 7.1 INFINITE-DIMENSIONAL PHASE
SPACES 130 7.2 THE SPACE OF SOLUTIONS 130 7.3 NOETHER S THEOREM 138 7.4
POLARIZATIONS 146 7.5 NONHYPERBOLIC EXAMPLES 152 8 PREQUANTIZATION 155
8.1 THE QUANTUM CONDITIONS 155 8.2 PREQUANTIZATION 156 8.3 THE
INTEGRALITY CONDITION 158 8.4 PREQUANTIZATION OF CANONICAL
TRANSFORMATIONS 162 9 QUANTIZATION 171 9.1 POLARIZATIONS AND
QUANTIZATION 171 9.2 HOLOMORPHIC QUANTIZATION 173 9.3 NONNEGATIVE
POLARIZATIONS 184 9.4 RELATIVISTIC QUANTIZATION 190 9.5 PAIRING 193 9.6
THE WKB APPROXIMATION 197 9.7 THE SCHROEDINGER EQUATION 201 9.8 PATH
INTEGRALS AND THE FEYNMAN EXPANSION 205 9.9 PROJECTIONS AND FOCK SPACES
209 CONTENTS XI 10 THE METAPLECTIC CORRECTION 218 10.1 THE CORRECTED
QUANTIZATION 218 10.2 THE METAPLECTIC REPRESENTATION 218 10.3
NONNEGATIVE LAGRANGIAN SUBSPACES 227 10.4 HALF-FORM QUANTIZATION 231
10.5 THE WKB APPROXIMATION 236 10.6 COHOMOLOGICAL WAVE FUNCTIONS 249 257
257 263 265 269 270 271 274 276 277 291 301 303 APPENDIX A.L A.2 A.3 A.4
A.5 A.6 A.7 A.8 NOTES NOTATION AND DEFINITIONS VECTOR BUNDLES LINE
BUNDLES DISTRIBUTIONS AND FOLIATIONS COMPLEX MANIFOLDS COHOMOLOGY
PAIRINGS AND EMBEDDINGS STATIONARY PHASE REFERENCES INDEX OF NOTATION
INDEX
|
| any_adam_object | 1 |
| author | Woodhouse, Nicholas M. J. 1949- |
| author_GND | (DE-588)142380253 |
| author_facet | Woodhouse, Nicholas M. J. 1949- |
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| building | Verbundindex |
| bvnumber | BV011351900 |
| classification_rvk | SK 950 UK 1200 |
| ctrlnum | (OCoLC)257933401 (DE-599)BVBBV011351900 |
| discipline | Physik Mathematik |
| edition | 2. ed., reprinted |
| format | Book |
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| id | DE-604.BV011351900 |
| illustrated | Illustrated |
| indexdate | 2024-07-09T18:08:17Z |
| institution | BVB |
| isbn | 0198536739 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007628077 |
| oclc_num | 257933401 |
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| owner | DE-384 DE-703 DE-29T |
| owner_facet | DE-384 DE-703 DE-29T |
| physical | XI, 307 S. graph. Darst. |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Clarendon Press |
| record_format | marc |
| series2 | Oxford mathematical monographs |
| spelling | Woodhouse, Nicholas M. J. 1949- Verfasser (DE-588)142380253 aut Geometric quantization N. M. J. Woodhouse 2. ed., reprinted Oxford Clarendon Press 1994 XI, 307 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Oxford mathematical monographs Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Geometrische Quantisierung (DE-588)4156720-1 gnd rswk-swf Geometrische Quantisierung (DE-588)4156720-1 s DE-604 Quantenmechanik (DE-588)4047989-4 s Mathematische Methode (DE-588)4155620-3 s 1\p DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007628077&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Woodhouse, Nicholas M. J. 1949- Geometric quantization Mathematische Methode (DE-588)4155620-3 gnd Quantenmechanik (DE-588)4047989-4 gnd Geometrische Quantisierung (DE-588)4156720-1 gnd |
| subject_GND | (DE-588)4155620-3 (DE-588)4047989-4 (DE-588)4156720-1 |
| title | Geometric quantization |
| title_auth | Geometric quantization |
| title_exact_search | Geometric quantization |
| title_full | Geometric quantization N. M. J. Woodhouse |
| title_fullStr | Geometric quantization N. M. J. Woodhouse |
| title_full_unstemmed | Geometric quantization N. M. J. Woodhouse |
| title_short | Geometric quantization |
| title_sort | geometric quantization |
| topic | Mathematische Methode (DE-588)4155620-3 gnd Quantenmechanik (DE-588)4047989-4 gnd Geometrische Quantisierung (DE-588)4156720-1 gnd |
| topic_facet | Mathematische Methode Quantenmechanik Geometrische Quantisierung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007628077&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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