Conceptual foundations of quantum mechanics:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Reading, Mass.
Perseus Books
1999
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Advanced book classics
Advanced book program |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XLV, 301 S. |
| ISBN: | 0738201049 |
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Datensatz im Suchindex
| _version_ | 1804127209740304384 |
|---|---|
| adam_text | Titel: Conceptual foundations of quantum mechanics
Autor: Espagnat, Bernard d
Jahr: 1999
Contents
PEDRO S DEBATE (PREFACE TO SECOND EDITION) XK
Mathematics and Physics xix
Physics and Existing World Views xx
Own Guesses xxviii
PREFACE TO FIRST EDITION XLffl
Part One
ELEMENTS OF QUANTUM MECHANICS 1
1. Matter Waves 3
2. Superposition and Linearity 6
2.1 Superposition of Waves 6
22 The Evolution in Time 10
23 The Correspondence Principle 11
2.4 The Necessity for a More General Formalism 11
References 13
3. Statement of the Rules 14
xUI
4. Comments
4.1 On the Description of Ensembles by Kets
4.2 Assumption Q
4.3 Indeterminism
4.4 Miscellaneous Remarks
(a) Relalivistic Formulations
(b) Undiscernability
(c) Second Quantization
References
x|v Contents
References 20
21
21
22
24
27
27
27
28
29
5. Alternative Formulations 30
5.1 The Mean Value Rule 30
5.2 The Heisenberg Picture for Time Evolution 34
Part Two
DENSITY MATRICES AND MIXTURES 39
6. The Density Matrix Formalism 40
40
43
43
44
45
46
48
50
55
56
7.1 Operators and Observables 56
7.2 Proper and Improper Mixtures 58
73 The Homogeneity of Ensembles 62
7.4 Observable Having a Value on a System 64
6.1 The Density Matrix
6.2 Pure Cases and Mixtures
Pure Cases
Mixtures
6.3 Time Dependence of Density Matrices
6.4 Alternative Formulation of Quantum Rules
65 Mixtures Defined by One and the Same Density Matrix
6.6 A Proposition Bearing on Correlations
References
7. Mixtures
Contents XV
75 Quantum Ensembles and Supplementary Variables 68
References 71
Exercises of Part Two 72
Part Three
QUANTUM NONSEPARABILITY 75
8. The Einstein-Podolosky-Rosen Problem 76
8.1 The Formal Aspects 76
8.2 Conceptual Aspects 79
83 Relalivistic Aspects 86
References 91
9. Possible Views on Nonseparability 92
References 91
10. Individuals, Ensembles, States 97
10.1 Quantum Mechanics of Individual Systems 97
10.2 The Quantum States 100
References 102
11. The Hidden Variables Approach 103
11.1 The Existence Problem 103
11.2 Hidden Variables and the Separability Problem 106
113 Nonseparability in Hidden Variables Theories 108
11.4 Another Proof 113
115 Search for Possible Violations of Quantum Mechanics 115
11.6 Further Discussion and Comments 116
References 120
12. Direct Study of Some Principles 121
12.1 Some Aspects of the Calculus of Propositions 121
12.2 A Set of Natural Assumptions Centered on Separability 127
xvi Contents
123 Consequences 131
12.4 Inequalities 133
125 Discussion: Experimental 140
12.6 Discussion: Theoretical 142
12.7 Conclusions 146
References 147
13. Aspects of the Problem of Retrodiction 149
13.1 Independent Time Evolution and the Retrodiction Problem 149
75.2 Connected Problems 154
References 156
Exercises of Part Three 157
Part Four
MEASUREMENT THEORIES 159
14. Elements of Measurement Theory 161
14.1 Some Introductory Remarks 161
14.2 Survey of Ideal Measurement Theory 165
143 An Explicit Example 168
14.4 Measurement and the Density Matrix Formalism 169
1. Nondegenerate Eigenvalue 170
2. Degenerate Eigenvalue 170
145 An Erroneous Argument 171
References 172
15. Classical Properties 173
75.7 Classical Measurements 173
15.2 A Proposition Bearing on Classical Observables 178
153 Scope and Criticism of the Theory 180
References 185
16. Macroscopic Instruments 186
16.1 Irreversibility: Dualistic Approach 186
16.2 The One-Principle Approach: Statistical Phase Cancellation 189
Contents xvii
163 More Refined Considerations 191
References 1%
17. Of Cats and Pointers 197
17.1 An application of the Conventional Formalism 197
77.2 Two Generations 200
References 206
18. Nonideal Measurements: Small Influence
of Outside World 207
18.1 Preliminaries 207
75.2 Generality of Nonideal Measurements 209
18.3 Nonideal Measurements with Initial State as Mixture 211
18.4 A Generalization 215
185 Discussion of the Green Model for Measurement 217
18.6 Generalizations 219
78.7 Conclusion 224
References 226
Exercises of Part Four 227
Part Five
KNOWLEDGE AND THE PHYSICAL WORLD 231
19. Reality and Objects 232
232
234
235
237
239
240
241
20.1 Structures: Weak and Strong Objectivity 241
20.2 The Positivistic Standpoint 242
203 Objections to Positivism Viewed as a Basic Philosophy 245
19.1 Realism
19.2 Micro-Objectivism
19.3 Macro-Objectivism
19.4 Macro-Objectivism and Long-Range Correlations
195 Other Versions of Scientific Realism
References
20. Positivism
xvlii Contents
References 249
21. Bohr and Heisenberg 250
21.1 Summary of Bohr s Thesis 250
27.2 Discussion 253
213 Some Aspects of Heisenberg s Philosophy 256
27.4 Conclusion 258
References 259
22. Wigner s Friend 260
References 265
23. The Relativity of States 266
23.1 Outline of the Theory 266
23.2 Discussion 271
References 278
Part Six
SUMMARY AND OUTLOOK 279
24. Summary 280
References 283
25. Outlook 284
References 293
AUTHOR INDEX 295
SUBJECT INDEX 297
|
| any_adam_object | 1 |
| author | Espagnat, Bernard d' 1921-2015 |
| author_GND | (DE-588)123585872 |
| author_facet | Espagnat, Bernard d' 1921-2015 |
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| author_sort | Espagnat, Bernard d' 1921-2015 |
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| building | Verbundindex |
| bvnumber | BV012562402 |
| classification_rvk | UK 1200 |
| ctrlnum | (OCoLC)249285733 (DE-599)BVBBV012562402 |
| dewey-full | 530.12 535.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics 535 - Light and related radiation |
| dewey-raw | 530.12 535.15 |
| dewey-search | 530.12 535.15 |
| dewey-sort | 3530.12 |
| dewey-tens | 530 - Physics |
| discipline | Physik |
| edition | 2. ed. |
| format | Book |
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| spelling | Espagnat, Bernard d' 1921-2015 Verfasser (DE-588)123585872 aut Conceptual foundations of quantum mechanics Bernard d'Espagnat 2. ed. Reading, Mass. Perseus Books 1999 XLV, 301 S. txt rdacontent n rdamedia nc rdacarrier Advanced book classics Advanced book program meccanica quantistica - fondamenta tessin-TR Quantentheorie Quantum theory Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Physik (DE-588)4045956-1 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 s DE-604 Quantentheorie (DE-588)4047992-4 s 1\p DE-604 Philosophie (DE-588)4045791-6 s 2\p DE-604 Physik (DE-588)4045956-1 s 3\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008530408&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Espagnat, Bernard d' 1921-2015 Conceptual foundations of quantum mechanics meccanica quantistica - fondamenta tessin-TR Quantentheorie Quantum theory Quantenmechanik (DE-588)4047989-4 gnd Physik (DE-588)4045956-1 gnd Philosophie (DE-588)4045791-6 gnd Quantentheorie (DE-588)4047992-4 gnd |
| subject_GND | (DE-588)4047989-4 (DE-588)4045956-1 (DE-588)4045791-6 (DE-588)4047992-4 |
| title | Conceptual foundations of quantum mechanics |
| title_auth | Conceptual foundations of quantum mechanics |
| title_exact_search | Conceptual foundations of quantum mechanics |
| title_full | Conceptual foundations of quantum mechanics Bernard d'Espagnat |
| title_fullStr | Conceptual foundations of quantum mechanics Bernard d'Espagnat |
| title_full_unstemmed | Conceptual foundations of quantum mechanics Bernard d'Espagnat |
| title_short | Conceptual foundations of quantum mechanics |
| title_sort | conceptual foundations of quantum mechanics |
| topic | meccanica quantistica - fondamenta tessin-TR Quantentheorie Quantum theory Quantenmechanik (DE-588)4047989-4 gnd Physik (DE-588)4045956-1 gnd Philosophie (DE-588)4045791-6 gnd Quantentheorie (DE-588)4047992-4 gnd |
| topic_facet | meccanica quantistica - fondamenta Quantentheorie Quantum theory Quantenmechanik Physik Philosophie |
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