Interpreting quantum theories: the art of the possible
Gespeichert in:
| 1. Verfasser: | |
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| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Oxford [u.a.]
Oxford Univ. Press
2011
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| Ausgabe: | 1. publ. |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis Klappentext |
| Beschreibung: | Hier auch später erschienene, unveränderte Nachdrucke |
| Beschreibung: | XVII, 379 S. graph. Darst. |
| ISBN: | 9780199535408 9780199681068 |
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Datensatz im Suchindex
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|---|---|
| adam_text | Titel: Interpreting quantum theories
Autor: Ruetsche, Laura
Jahr: 2011
Contents
Preface xi
List of Abbreviations xv
List of Symbols xvi
1. Exegesis Saves: Interpreting Physical Theories 1
1.1. Why be so particular? 1
1.2. Interpreting physical theories 5
1.3. In praise, and in defense, of the standard account 10
1.4. Criteria of adequacy for interpretations 10
1.5. Realism and pristine interpretation 12
1.6. Interpreting QMoo 14
2. Quantizing 19
2.1. Rival quantum theories? 20
2.2. Physical equivalence and unitary equivalence 24
2.3. The Stone-von Neumann uniqueness theorem 30
2.3.1. Mechanics: classical to quantum 30
2.3.2. Classical theories as symplectic vector spaces 33
2.3.3. Hamiltonian quantization 35
2.3.4. The Stone-von Neumann theorem 37
2.3.5. Uniqueness illustrated 42
2.4. Pause 45
3. Beyond the Stone-von Neumann Theorem 46
3.1. Suspending weak continuity 46
3.1.1. The position and momentum representations 46
3.1.2. Are they physical ? 50
3.2. Non-vanilla configuration spaces 53
3.2.1. Mr. Heisenberg s group 54
3.2.2. Phase spaces of other topologies 57
3.3. Infinitely many degrees of freedom 59
3.3.1. The thermodynamic limit: the infinite spin chain 59
3.3.2. QFT: the Klein-Gordon field 65
3.4. Conclusion 72
4. Representation Without Taxation: An Unstrenuous Tour
of Algebraic Notions 73
4.1. What an algebra is 73
4.2. C* algebras, abstractly 75
VI CONTENTS
4.3. C* algebras, concretely 77
4.4. The representation of a C* algebra 82
4.4.1. Faith and reducibility 84
4.4.2. Unitary equivalence of representations 85
4.5. Von Neumann algebras 86
4.6. States on C* algebra 89
4.6.1. The GNS representation 89
4.6.2. Foliums 94
4.7. Von Neumann factors 98
4.8. Conclusion and précis 99
5. Axioms for QMoo 102
5.1. A declaration of sentiment 102
5.2. Axioms for QFT 104
5.3. Entanglement and locality in QFT 109
5.3.1. Motivating the Microcausality axiom 109
5.3.2. Entanglement in QFT 113
5.4. Axioms for QSM 114
5.5. Conclusion 116
6. Interpreting QMoo : Some Options 117
6.1. What are we interpreting? 119
6.2. Hilbert Space Conservatism 122
6.2.1. Some privileging strategies 123
6.2.2. Underprivileged? 124
6.2.3. Overprivileged? 125
6.3. DHR selection theory 127
6.3.1. Motivation and set up 127
6.3.2. Reservations 131
6.4. Algebraic Imperialism 132
6.4.1. Apologetic Imperialism 133
6.4.2. Bold Imperialism 136
6.4.3. Instantiation and necessity 139
6.4.4. Imperialism: excess and deficiency 142
6.5. Mixed strategies 143
6.6. Universalism 145
6.7. Unpristine approaches 146
7. Extraordinary QM 148
7.1. Typing von Neumann factors 149
7.1.1. Dimension functions and subtypes 154
7.2. Atomlessness and normality 155
7.3. KMS states 159
7.4. A modicum of modular theory 162
7.5. Extraordinarily physical 166
CONTENTS Vil
7.5.1. Non-atomic von Neumann algebras in QFT 166
7.5.2. Non-atomic von Neumann algebras in QSM 167
7.6. Interlude 168
8. Interpreting Extraordinary QM 169
8.1. Preparation 170
8.2. The MBA and ordinary QM 173
8.2.1. Characterizing the MBA 174
8.2.2. Lattice entertain you 177
8.2.3. A scheme and some instances 179
8.3. The MBA and QMoo 181
8.3.1. Hope 182
8.3.2. Tempered 183
8.3.3. Interpretation unbound? 186
8.4. Conclusion 188
9. Is Particle Physics Particle Physics? 190
9.1. Particle physics 191
9.2. Particle interpretations 193
9.3. Pro particles 195
9.3.1. Fock space, heuristically 195
9.3.2. The particle notion as fundamental 199
9.4. Anti particles: an argument, and a loophole 204
9.5. Closing the loophole: incommensurable particle notions 206
9.5.1. Fock space without the heuristic 206
9.5.2. Unitary inequivalence and incommensurability 211
9.6. The incommensurability of Jack s and Jill s particle notions 214
9.6.1. Jill s spacetime 214
9.6.2. Jack s notion, and Jill s 215
9.7. Operationalizing the particle notion? 216
9.8. The Unruh effect without particles 218
9.9. Conclusion: the case against, restated and extended 219
10. Particles and the Void 221
10.1. Extended particle notions 222
10.1.1. An appeal to exfoliated predictions 222
10.1.2. An appeal to Fell s theorem 225
10.1.3. Universalizing 226
10.2. Spacetime matters 229
10.2.1. Killing particles and ß-born particles 229
10.2.2. Adulteration? 232
10.3. Matter matters 234
10.3.1. For Jack 235
10.3.2. More adulteration? 237
10.4. Coherent states 239
10.4.1. One degree of freedom 240
10.4.2. « degrees of freedom 241
Vili CONTENTS
10.4.3. QFT 242
10.4.4. Some properties of coherent representations 243
10.4.5. Coherence: what is it good for? 244
10.5. Conclusion 246
11. Phenomenological Particle Notions 247
11.1. Particle physics, redux 249
11.1.1. The interaction picture and Haags theorem 250
11.1.2. Hope: Haag-Ruelle? 253
11.1.3. The W 4)2 theory 255
11.2. Cosmologica! particle crearion 256
11.3. Conclusion 260
12. A Matter of Degree: Making Sense of Phase Structure 261
12.1. The thermodynamic limit: why go there? 262
12.1.1. Ergodicity 263
12.1.2. Phase structure 268
12.1.3. Broken symmetry 270
12.2. Phase structure: a closer look 272
12.2.1. Pure phases 272
12.2.2. The set of equilibrium states 277
12.3. Extremist obstructions to explanation 281
12.3.1. The phase argument 281
12.3.2. The W* argument 284
12.4. Complicating content 288
13. Interlude: Symmetry Breaking in QSM 291
13.1. Introduction: Coalesced Structure 291
13.2. Symmetry and the Sharp Distinction 292
13.3. Broken symmetry in QMoo 300
13.3.1. The individual sense 300
13.3.2. The decompositional sense 301
13.3.3. Comparing the accounts 303
13.4. The decompositional account illustrated 305
13.4.1. The ferromagnet 305
13.4.2. Superconductivity 306
13.5. Coalesced structures in broken symmetry 309
14. Broken Symmetry and Physicists QFT 312
14.1. Introduction 312
14.2. Broken symmetry in QFT 314
14.2.1. Overview 315
14.2.2. An example: the massless Klein-Gordon field 317
14.3. Goldstone bosons 320
14.4. The Higgs mechanism 324
14.4.1. The saga of the electroweak theory 325
14.4.2. The abelian Higgs model 328
CONTENTS IX
14.5. Coalesced structures in QFT? 330
14.5.1. Promissory notes 330
14.5.2. Unphased 332
¡4.6. A Sounder Principle? 336
15. Re: Interpreting Physical Theories 340
15.1. An anatomy of scandal 340
15.2. Realism sophisticated 344
15.2.1. The global argument 344
15.2.2. Structural Realism 346
15.3. QMoo and the morals 349
15.4. Law and possibility 351
15.5. Virtue reconceived 354
15.6. Fundamental physics 355
References 357
Index 371
Traditionally, philosophers of quantum mechanics have addressed exceedingly sim¬
ple systems: a pair of electrons in an entangled state, or an atom and a cat in
Dr.
Schrödinger s
diabolical device. But recently, much more complicated systems,
such as quantum fields and the infinite systems at the therniodynamic limit of quantum
statistical mechanics, have attracted, and repaid, philosophical attention. Interpreting
Quantum Theories has three entangled aims. The first is to guide those familiar with
the philosophy of ordinary QM into the philosophy of QM infinity , by presenting
accessible introductions to relevant technical notions and the foundational questions
they frame. The second aim is to develop and defend answers to some of those
questions. Does quantum field theory demand or deserve a particle ontology? How
(if at all) are different states of broken symmetry different? And what is the proper
role of idealizations in working physics? The third aim is to highlight ties between the
foundational investigation of QM infinity and philosophy more broadly construed. In
this original contribution to philosophical inquiry, Laura Ruetsche uses the interpre¬
tive problems discussed to motivate new ways to think about the nature of physical
possibility and the problem of scientific realism.
|
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| spelling | Ruetsche, Laura Verfasser aut Interpreting quantum theories the art of the possible Laura Ruetsche 1. publ. Oxford [u.a.] Oxford Univ. Press 2011 XVII, 379 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Hier auch später erschienene, unveränderte Nachdrucke Quantentheorie (DE-588)4047992-4 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Quantentheorie (DE-588)4047992-4 s Philosophie (DE-588)4045791-6 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024405414&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Digitalisierung UB Augsburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=024405414&sequence=000004&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Klappentext |
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| title | Interpreting quantum theories the art of the possible |
| title_auth | Interpreting quantum theories the art of the possible |
| title_exact_search | Interpreting quantum theories the art of the possible |
| title_full | Interpreting quantum theories the art of the possible Laura Ruetsche |
| title_fullStr | Interpreting quantum theories the art of the possible Laura Ruetsche |
| title_full_unstemmed | Interpreting quantum theories the art of the possible Laura Ruetsche |
| title_short | Interpreting quantum theories |
| title_sort | interpreting quantum theories the art of the possible |
| title_sub | the art of the possible |
| topic | Quantentheorie (DE-588)4047992-4 gnd Philosophie (DE-588)4045791-6 gnd |
| topic_facet | Quantentheorie Philosophie |
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