Properties of vacuum states in quantum field theory on curved spacetimes:
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| Format: | Book |
| Language: | English |
| Published: |
2002
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| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Leipzig, Univ., Diss., 2002 |
| Physical Description: | 75 S. graph. Darst. |
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MARC
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| 245 | 1 | 0 | |a Properties of vacuum states in quantum field theory on curved spacetimes |c von Alexander Strohmaier |
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Record in the Search Index
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| adam_text |
CONTENTS
1 INTRODUCTION 3
2 EVOLUTION EQUATIONS ON SPACETIMES 7
2.1 SPACETIMES. 7
2.2 FIBRE METRICS AND HERMITIAN STRUCTURES ON VECTOR BUNDLES. 9
2.3 SPIN STRUCTURES AND SPINORS. 10
2.4 FUNDAMENTAL SOLUTIONS TO EVOLUTION EQUATIONS . 11
2.4.1 THE KLEIN-GORDON EQUATION. 13
2.4.2 THE DIRAC EQUATION. 13
3 THE CONSTRUCTION OF FREE FIELDS 15
3.1 THE DIRAC FIELD. 15
3.2 THE KLEIN-GORDON FIELD. 17
4 VACUUM LIKE STATES 21
4.1 KMS- OR GROUND STATES IN THE STATIONARY CASE. 21
4.2 THE MICROLOCAL SPECTRUM CONDITION. 23
5 THE MICROLOCAL SPECTRUM CONDITION AND LOCAL ANALYTICITY OF STATES 25
5.1 MICROLOCAL ANALYSIS FOR HILBERT SPACE VALUED DISTRIBUTIONS. 26
5.2 LOCALLY ANALYTIC STATES. 33
6 THE REEH-SCHLIEDER PROPERTY AND A TIMELIKE TUBE PROPERTY IN THE
STATIONARY CASE 35
6.1 A DENSITY THEOREM FOR TIMELIKE TUBES. 36
6.2 APPLICATION TO QUANTUM FIELD THEORY. 39
7 THE LOCAL STRUCTURE OF THE KLEIN-GORDON FIELD 42
7.1 CAUSAL STRUCTURE OF SPACETIMES. 43
7.1.1 SPACE OF TIMELIKE CURVE-SEGMENTS . 43
1
BIBLIOGRAFISCHE INFORMATIONEN
HTTP://D-NB.INFO/964785986
2
CONTENTS
7.1.2 THE ENVELOPE OF AN OPEN SET. 46
7.2 THE ENVELOPE OF UNIQUENESS AND UNIQUE CONTINUATION. 47
7.3 THE LOCAL STRUCTURE OF THE KLEIN-GORDON FIELD. 49
8 OUTLOOK 51
A ALGEBRAS OF BOUNDED OPERATORS ON A HILBERT SPACE 53
A.L C*-ALGEBRAS. 53
A. 2 VON NEUMANN ALGEBRAS AND IV*-ALGEBRAS. 54
B DISTRIBUTIONS AND MICROLOCAL ANALYSIS 56
B. L DISTRIBUTIONS ON OPEN SUBSETS OF R
N. 56
B.2 THE WAVEFRONT SET WITH RESPECT TO
CL
. 58
B.3 DISTRIBUTIONS ON MANIFOLDS. 59
B. 4 THE WAVEFRONT SET OF SOLUTIONS TO DIFFERENTIAL EQUATIONS . 60
C NUCLEAR SPACES AND GELFAND TRIPLES 62
C. L PROPERTIES OF NUCLEAR SPACES. 62
C.2 GELFAND TRIPLES . 63
D CLIFFORD ALGEBRAS AND THE SPINOR MODULES 64
BIBLIOGRAPHY 65
ACKNOWLEDGEMENTS 75 |
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| author_facet | Strohmaier, Alexander |
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| indexdate | 2024-10-09T18:04:25Z |
| institution | BVB |
| language | English |
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| physical | 75 S. graph. Darst. |
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| spelling | Strohmaier, Alexander Verfasser aut Properties of vacuum states in quantum field theory on curved spacetimes von Alexander Strohmaier 2002 75 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Leipzig, Univ., Diss., 2002 Quantenfeldtheorie (DE-588)4047984-5 gnd rswk-swf Vakuumzustand (DE-588)4228317-6 gnd rswk-swf Gekrümmte Raumzeit (DE-588)4322953-0 gnd rswk-swf (DE-588)4113937-9 Hochschulschrift gnd-content Quantenfeldtheorie (DE-588)4047984-5 s Gekrümmte Raumzeit (DE-588)4322953-0 s Vakuumzustand (DE-588)4228317-6 s DE-604 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009820113&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Strohmaier, Alexander Properties of vacuum states in quantum field theory on curved spacetimes Quantenfeldtheorie (DE-588)4047984-5 gnd Vakuumzustand (DE-588)4228317-6 gnd Gekrümmte Raumzeit (DE-588)4322953-0 gnd |
| subject_GND | (DE-588)4047984-5 (DE-588)4228317-6 (DE-588)4322953-0 (DE-588)4113937-9 |
| title | Properties of vacuum states in quantum field theory on curved spacetimes |
| title_auth | Properties of vacuum states in quantum field theory on curved spacetimes |
| title_exact_search | Properties of vacuum states in quantum field theory on curved spacetimes |
| title_full | Properties of vacuum states in quantum field theory on curved spacetimes von Alexander Strohmaier |
| title_fullStr | Properties of vacuum states in quantum field theory on curved spacetimes von Alexander Strohmaier |
| title_full_unstemmed | Properties of vacuum states in quantum field theory on curved spacetimes von Alexander Strohmaier |
| title_short | Properties of vacuum states in quantum field theory on curved spacetimes |
| title_sort | properties of vacuum states in quantum field theory on curved spacetimes |
| topic | Quantenfeldtheorie (DE-588)4047984-5 gnd Vakuumzustand (DE-588)4228317-6 gnd Gekrümmte Raumzeit (DE-588)4322953-0 gnd |
| topic_facet | Quantenfeldtheorie Vakuumzustand Gekrümmte Raumzeit Hochschulschrift |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=009820113&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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