Quantum logic in algebraic approach:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht [u.a.]
Kluwer Acad. Publ.
1998
|
| Schriftenreihe: | Fundamental theories of physics
91 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | X, 238 S. |
| ISBN: | 0792349032 |
Internformat
MARC
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| 650 | 4 | |a Hilbert space | |
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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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| illustrated | Not Illustrated |
| indexdate | 2025-03-12T09:00:33Z |
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| isbn | 0792349032 |
| language | English |
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| physical | X, 238 S. |
| publishDate | 1998 |
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| publisher | Kluwer Acad. Publ. |
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| series | Fundamental theories of physics |
| series2 | Fundamental theories of physics |
| 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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