Mathematical quantization:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Boca Raton [u.a.]
Chapman & Hall
2001
|
| Schriftenreihe: | Studies in advanced mathematics
|
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XI, 278 S. |
| ISBN: | 1584880015 |
Internformat
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Datensatz im Suchindex
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| adam_text | MATHEMATICAL QUANTIZATION NIK WEAVER CHAPMAN & HALL/CRC / BOCA RATON
LONDON NEW YORK WASHINGTON, D.C. CONTENTS PREFACE V 1 QUANTUM MECHANICS
1 1.1 CLASSICAL PHYSICS 1 1.2 STATES AND EVENTS 2 1.3 OBSERVABLES 6 1.4
DYNAMICS 9 1.5 COMPOSITE SYSTEMS 13 1.6 QUANTUM COMPUTATION 16 1.7 NOTES
17 2 HILBERT SPACES 19 2.1 DEFINITIONS AND EXAMPLES 19 2.2 SUBSPACES 23
2.3 ORTHONORMAL BASES 28 2.4 DUALS AND DIRECT SUMS 31 2.5 TENSOR
PRODUCTS 35 2.6 QUANTUM LOGIC 40 2.7 NOTES 43 3 OPERATORS 45 3.1
UNITARIES AND PROJECTIONS 45 3.2 CONTINUOUS FUNCTIONAL CALCULUS 50 3.3
BOREL FUNCTIONAL CALCULUS 54 3.4 SPECTRAL MEASURES 57 3.5 THE BOUNDED
SPECTRAL THEOREM 61 3.6 UNBOUNDED OPERATORS 63 3.7 THE UNBOUNDED
SPECTRAL THEOREM 66 3.8 STONE S THEOREM 68 3.9 NOTES 72 4 THE QUANTUM
PLANE 73 4.1 POSITION AND MOMENTUM 73 4.2 THE TRACIAL REPRESENTATION 77
IX 4.3 BARGMANN-SEGAL SPACE 79 4.4 QUANTUM COMPLEX ANALYSIS 85 4.5 NOTES
89 C*-ALGEBRAS 91 5.1 THE ALGEBRAS C(X) 91 5.2 TOPOLOGIES FROM FUNCTIONS
95 5.3 ABELIAN C*-ALGEBRAS 99 5.4 THE QUANTUM PLANE 101 5.5 QUANTUM TORI
109 5.6 THE GNS CONSTRUCTION 116 5.7 NOTES 123 VON NEUMANN ALGEBRAS 125
6.1 THE ALGEBRAS L(X) 125 6.2 THE ALGEBRAS L{X) 128 6.3 TRACE CLASS
OPERATORS 131 6.4 THE ALGEBRAS B{%) 135 6.5 VON NEUMANN ALGEBRAS 138 6.6
THE QUANTUM PLANE AND TORI 143 6.7 NOTES 146 QUANTUM FIELD THEORY 147
7.1 FOCK SPACE 147 7.2 CCR ALGEBRAS 150 7.3 RELATIVISTIC PARTICLES 155
7.4 FLAT SPACETIME 159 7.5 CURVED SPACETIME 161 7.6 NOTES 164 OPERATOR
SPACES 167 8.1 THE SPACES V(K) 167 8.2 MATRIX NORMS AND CONVEXITY 169
8.3 DUALITY 176 8.4 MATRIX-VALUED FUNCTIONS 180 8.5 OPERATOR SYSTEMS 184
8.6 NOTES 190 HILBERT MODULES 191 9.1 CONTINUOUS HILBERT BUNDLES 191 9.2
HILBERT L-MODULES . 194 9.3 HILBERT C*-MODULES 197 9.4 HILBERT
W*-MODULES 202 9.5 CROSSED PRODUCTS 208 XI 9.6 HILBERT *-BIMODULES 211
9.7 NOTES 217 10 LIPSCHITZ ALGEBRAS 219 10.1 THE ALGEBRAS LIP O (X) 219
10.2 MEASURABLE METRICS 226 10.3 THE DERIVATION THEOREM 231 10.4
EXAMPLES 236 10.5 QUANTUM MARKOV SEMIGROUPS 242 10.6 NOTES 248 11
QUANTUM GROUPS 249 11.1 FINITE DIMENSIONAL C*-ALGEBRAS 249 11.2 FINITE
QUANTUM GROUPS 251 11.3 COMPACT QUANTUM GROUPS 256 11.4 HAAR MEASURE 260
11.5 NOTES * 263 REFERENCES 265 INDEX 271
|
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| illustrated | Not Illustrated |
| indexdate | 2024-07-09T18:52:06Z |
| institution | BVB |
| isbn | 1584880015 |
| language | English |
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| physical | XI, 278 S. |
| publishDate | 2001 |
| publishDateSearch | 2001 |
| publishDateSort | 2001 |
| publisher | Chapman & Hall |
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| series2 | Studies in advanced mathematics |
| spelling | Weaver, Nik 1969- Verfasser (DE-588)1029493642 aut Mathematical quantization Nik Weaver Boca Raton [u.a.] Chapman & Hall 2001 XI, 278 S. txt rdacontent n rdamedia nc rdacarrier Studies in advanced mathematics Quantification géométrique Geometric quantization Geometrische Quantisierung (DE-588)4156720-1 gnd rswk-swf Geometrische Quantisierung (DE-588)4156720-1 s DE-604 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009430820&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Weaver, Nik 1969- Mathematical quantization Quantification géométrique Geometric quantization Geometrische Quantisierung (DE-588)4156720-1 gnd |
| subject_GND | (DE-588)4156720-1 |
| title | Mathematical quantization |
| title_auth | Mathematical quantization |
| title_exact_search | Mathematical quantization |
| title_full | Mathematical quantization Nik Weaver |
| title_fullStr | Mathematical quantization Nik Weaver |
| title_full_unstemmed | Mathematical quantization Nik Weaver |
| title_short | Mathematical quantization |
| title_sort | mathematical quantization |
| topic | Quantification géométrique Geometric quantization Geometrische Quantisierung (DE-588)4156720-1 gnd |
| topic_facet | Quantification géométrique Geometric quantization Geometrische Quantisierung |
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