Verfügbarkeit: Quantum logic in algebraic approach | Technische Universität München

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Bibliographische Detailangaben
Beteilige Person:	Rédei, Miklós (VerfasserIn)
Format:	Buch
Sprache:	Englisch
Veröffentlicht:	Dordrecht [u.a.] Kluwer Acad. Publ. 1998
Schriftenreihe:	Fundamental theories of physics 91
Schlagwörter:	Champs, Théorie quantique des Hilbert, Espace de Logique symbolique et mathématique Théorie quantique Hilbert space Quantum field theory Quantum logic Quantenlogik
Links:	http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008322347&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
Umfang:	X, 238 S.
ISBN:	0792349032

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Datensatz im Suchindex

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adam_text	QUANTUM LOGIC IN ALGEBRAIC APPROACH BY MIKLOS REDEI FACULTY OF NATURAL SCIENCES, LORDND EOTVOS UNIVERSITY, BUDAPEST, HUNGARY KLUWER ACADEMIC PUBLISHERS DORDRECHT/ BOSTON / LONDON TABLE OF CONTENTS PREFACE IX 1 INTRODUCTION 1 1.1 BIBLIOGRAPHIC NOTES 8 2 OBSERVABLES AND STATES IN THE HILBERT SPACE FORMALISM OF QUANTUM MECHANICS 11 2.1 OBSERVABLES 11 2.2 STATES , 20 2.3 BIBLIOGRAPHIC NOTES 27 3 LATTICE THEORETIC NOTIONS 20 3.1 BASIC NOTIONS IN LATTICE THEORY 29 3.2 BIBLIOGRAPHIC NOTES 43 4 HILBERT LATTICE 45 4.1 HILBERT SPACE AND THE LATTICE OF SUBSPACES 45 4.2 SUBSPACES AND PROJECTIONS 54 4.3 BIBLIOGRAPHIC NOTES 60 5 PHYSICAL THEORY IN SEMANTIC APPROACH 61 5.1 PHYSICAL THEORY AS SEMI-INTERPRETED LANGUAGE 61 5.2 THE LOGIC OF CLASSICAL MECHANICS 64 .5.3 HILBERT LATTICE AS LOGIC 68 5.4 BIBLIOGRAPHIC NOTES 74 6 VON NEUMANN LATTICES .^ 77 6.1 VON NEUMANN ALGEBRAS 77 6.2 VON NEUMANN LATTICES 82 6.3 APPENDIX: PROOFS OF PROPOSITIONS RELATED TO THE CLASSIFICATION THEORY OF VON NEUMANN ALGEBRAS 90 6.4 BIBLIOGRAPHIC NOTES 100 VI TABLE OF CONTENTS 7 N THE BIRKHOFF-VON NEUMANN CONCEPT OF QUANTUM LOGIC 103 7.1 QUANTUM LOGIC AS EVENT STRUCTURE OF NON-COMMUTATIVE PROBABILITY 103 7.1.1 DIGRESSION: VON NEUMANN'S CONCEPT OF PROBABILITY IN QUANTUM MECHANICS IN THE YEARS 1926-1932 105 7.1.2 BACK TO THE TYPE II X FACTOR 112 7.2 PROBABILITY IS LOGICAL 113 7.3 BIBLIOGRAPHIC NOTES 116 8 QUANTUM CONDITIONAL AND QUANTUM CONDITIONAL PROBABILITY 119 8.1 MINIMAL IMPLICATIVE CRITERIA AND QUANTUM CONDITIONAL . 119 8.2 CONDITIONAL PROBABILITY AND STATISTICAL INFERENCE 127 8.3 BREAKDOWN OF STALNAKER'S THESIS IN QUANTUM LOGIC 134 8.4 BIBLIOGRAPHIC NOTES 137 9 THE PROBLEM OF HIDDEN VARIABLES 139 9.1 HISTORICAL REMARKS 139 9.2 NOTION OF AND NO-GO RESULTS ON DISPERSIVE HIDDEN THEORIES . . 144 9.2.1 DEFINITION OF DISPERSIVE HIDDEN THEORY 144 9.2.2 NEGATIVE RESULTS ON DISPERSIVE HIDDEN THEORIES . . . . 149 9.3 NO-GO RESULTS ON ENTROPIC HIDDEN THEORIES 156 9.4 THE PROBLEM OF LOCAL HIDDEN VARIABLES 160 9.4.1 BELL'S QUESTION AND BELL'S INEQUALITY 160 9.4.2 NO-GO PROPOSITION ON DISPERSIVE LOCAL HIDDEN THEORIES 164 9.5 BIBLIOGRAPHIC NOTES 169 10 VIOLATION OF BELL'S INEQUALITY IN QUANTUM FIELD THEORY 171 10.1 BASIC NOTIONS OF ALGEBRAIC QUANTUM FIELD THEORY 171 10.2 BELL CORRELATION AND BELL'S INEQUALITY . 180 10.3 VIOLATION OF BELL'S INEQUALITY IN QUANTUM FIELD THEORY . . . . 184 10.4 SUPERLUMINAL CORRELATIONS IN QUANTUM FIELD THEORY . . . . . 188 10.5 BIBLIOGRAPHIC NOTES 190 11 INDEPENDENCE IN QUANTUM LOGIC APPROACH 191 11.1 LOGICAL INDEPENDENCE IN QUANTUM LOGIC 193 11.1.1 LOGICAL NOTIONS OF INDEPENDENCE 193 11.1.2 LOGICAL AND STATISTICAL INDEPENDENCE 197 11.2 COUNTERFACTUAL PROBABILISTIC INDEPENDENCE , . 204 11.2.1 CONCEPT OF COUNTERFACTUAL PROBABILISTIC INDEPENDENCE 205 11.2.2 COUNTERFACTUAL PROBABILISTIC INDEPENDENCE IN QUANTUM FIELD THEORY 207 11.3 BIBLIOGRAPHIC NOTES 213 TABLE OF CONTENTS VII 12 REICHENBACH'S COMMON CAUSE PRINCIPLE AND QUANTUM FIELD THEORY 215 12.1 REICHENBACH'S COMMON CAUSE PRINCIPLE 216 12.2 DO SUPERLUMINAL CORRELATIONS HAVE A PROBABILISTIC COMMON CAUSE? 219 12.3 BIBLIOGRAPHIC NOTES * 224 REFERENCES 227 INDEX 235
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spelling	Rédei, Miklós Verfasser aut Quantum logic in algebraic approach by Miklós Rédei Dordrecht [u.a.] Kluwer Acad. Publ. 1998 X, 238 S. txt rdacontent n rdamedia nc rdacarrier Fundamental theories of physics 91 Champs, Théorie quantique des Hilbert, Espace de Logique symbolique et mathématique Théorie quantique Hilbert space Quantum field theory Quantum logic Quantenlogik (DE-588)4176599-0 gnd rswk-swf Quantenlogik (DE-588)4176599-0 s DE-604 Fundamental theories of physics 91 (DE-604)BV000012461 91 GBV Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008322347&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis
spellingShingle	Rédei, Miklós Quantum logic in algebraic approach Fundamental theories of physics Champs, Théorie quantique des Hilbert, Espace de Logique symbolique et mathématique Théorie quantique Hilbert space Quantum field theory Quantum logic Quantenlogik (DE-588)4176599-0 gnd
subject_GND	(DE-588)4176599-0
title	Quantum logic in algebraic approach
title_auth	Quantum logic in algebraic approach
title_exact_search	Quantum logic in algebraic approach
title_full	Quantum logic in algebraic approach by Miklós Rédei
title_fullStr	Quantum logic in algebraic approach by Miklós Rédei
title_full_unstemmed	Quantum logic in algebraic approach by Miklós Rédei
title_short	Quantum logic in algebraic approach
title_sort	quantum logic in algebraic approach
topic	Champs, Théorie quantique des Hilbert, Espace de Logique symbolique et mathématique Théorie quantique Hilbert space Quantum field theory Quantum logic Quantenlogik (DE-588)4176599-0 gnd
topic_facet	Champs, Théorie quantique des Hilbert, Espace de Logique symbolique et mathématique Théorie quantique Hilbert space Quantum field theory Quantum logic Quantenlogik
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volume_link	(DE-604)BV000012461
work_keys_str_mv	AT redeimiklos quantumlogicinalgebraicapproach

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