Quantum physics without quantum philosophy:
Gespeichert in:
Hauptverfasser: | , , |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2013
|
Schlagworte: | |
Online-Zugang: | Inhaltstext Inhaltsverzeichnis |
Beschreibung: | Literaturangaben. - Enth. bereits erschienene Aufsätze aus Zss. und Büchern |
Beschreibung: | XVII, 284 S. Ill., graph. Darst. 235 mm x 155 mm |
ISBN: | 3642306896 9783642306891 |
Internformat
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Datensatz im Suchindex
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IMAGE 1
CONTENTS
1 INTRODUCTION 1
1.1 THE TITLE 1
1.2 WHAT IS WRONG WITH QUANTUM MECHANICS? 3
1.3 HISTORY 5
1.4 IMPOSSIBILITY 7
1.5 THE DISMISSAL 9
1.6 ROADS TO BOHMIAN MECHANICS 9
1.7 QUESTIONS 11
1.8 THE BOOK 14
REFERENCES 19
PART I QUANTUM EQUILIBRIUM
2 QUANTUM EQUILIBRIUM AND THE ORIGIN O F ABSOLUTE UNCERTAINTY 23 2.1
INTRODUCTION 23
2.2 REALITY AND THE ROLE O F THE WAVE FUNCTION 26
2.3 BOHMIAN MECHANICS 29
2.4 THE PROBLEM OF QUANTUM EQUILIBRIUM 34
2.5 THE EFFECTIVE WAVE FUNCTION 37
2.6 THE FUNDAMENTAL CONDITIONAL PROBABILITY FORMULA 44
2.7 EMPIRICAL DISTRIBUTIONS 4 6
2.8 MULTITIME EXPERIMENTS: THE PROBLEM 50
2.9 RANDOM SYSTEMS 51
2.10 MULTITIME DISTRIBUTIONS 54
2.11 ABSOLUTE UNCERTAINTY 57
2.12 KNOWLEDGE AND NONEQUILIBRIUM 59
2.13 QUANTUM EQUILIBRIUM AND THERMODYNAMIC (NON)EQUILIBRIUM 6 0 2.14
GLOBAL EQUILIBRIUM BENEATH NONEQUILIBRIUM 63
2.15 APPENDIX: RANDOM POINTS 65
REFERENCES 74
X I I I
HTTP://D-NB.INFO/1022288296
IMAGE 2
QUANTUM EQUILIBRIUM AND THE ROLE OF OPERATORS AS OBSERVABLES
IN QUANTUM THEORY 79
3.1 INTRODUCTION 79
3.1.1 NOTATIONS AND CONVENTIONS 82
3.2 BOHMIAN EXPERIMENTS 83
3.2.1 EQUIVARIANCE AND QUANTUM EQUILIBRIUM 83
3.2.2 CONDITIONAL AND EFFECTIVE WAVE FUNCTIONS 85
3.2.3 DECOHERENCE 86
3.2.4 WAVE FUNCTION AND STATE 88
3.2.5 THE STERN-GERLACH EXPERIMENT 89
3.2.6 A REMARK ON THE REALITY O F SPIN IN BOHMIAN MECHANICS . . . 92
3.2.7 THE FRAMEWORK OF DISCRETE EXPERIMENTS 92
3.2.8 REPRODUCIBILITY AND ITS CONSEQUENCES 94
3.2.9 OPERATORS AS OBSERVABLES 96
3.2.10 THE GENERAL FRAMEWORK O F BOHMIAN EXPERIMENTS 97
3.3 THE QUANTUM FORMALISM 99
3.3.1 WEAK FORMAL MEASUREMENTS 100
3.3.2 STRONG FORMAL MEASUREMENTS 101
3.3.3 FROM FORMAL MEASUREMENTS TO EXPERIMENTS 104
3.3.4 VON NEUMANN MEASUREMENTS 105
3.3.5 PREPARATION PROCEDURES 106
3.3.6 MEASUREMENTS O F COMMUTING FAMILIES OF OPERATORS 106 3.3.7
FUNCTIONS OF MEASUREMENTS 108
3.3.8 MEASUREMENTS OF OPERATORS WITH CONTINUOUS SPECTRUM . . . . 110
3.3.9 SEQUENTIAL MEASUREMENTS 110
3.3.10 SOME SUMMARIZING REMARKS 112
3.4 THE EXTENDED QUANTUM FORMALISM 114
3.4.1 POVMS AND BOHMIAN EXPERIMENTS 115
3.4.2 FORMAL EXPERIMENTS 116
3.4.3 FROM FORMAL EXPERIMENTS TO EXPERIMENTS 119
3.4.4 MEASURE-VALUED QUADRATIC MAPS 120
3.5 THE GENERAL EMERGENCE O F OPERATORS 122
3.5.1 "NO INTERACTION" EXPERIMENTS 123
3.5.2 "NO X " EXPERIMENTS 124
3.5.3 "NO Y " EXPERIMENTS 126
3.5.4 " N O T NO J " EXPERIMENTS 127
3.5.5 THE BASIC OPERATORS O F QUANTUM MECHANICS 127
3.5.6 FROM POSITIVE-OPERATOR-VALUED MEASURES TO EXPERIMENTS . . 1 3 0
3.5.7 INVARIANCE UNDER TRIVIAL EXTENSION 130
3.5.8 POVMS AND THE POSITIONS OF PHOTONS AND DIRAC ELECTRONS . . 131 3.6
DENSITY MATRICES 132
3.6.1 DENSITY MATRICES AND BOHMIAN EXPERIMENTS 133
3.6.2 STRONG EXPERIMENTS AND DENSITY MATRICES 134
3.6.3 THE NOTION OF INSTRUMENT 135
3.6.4 ON THE STATE DESCRIPTION PROVIDED BY DENSITY MATRICES . . . . 136
IMAGE 3
CONTENTS X V
3.7 GENUINE MEASUREMENTS 137
3.7.1 A NECESSARY CONDITION FOR MEASURABILITY 138
3.7.2 THE NONMEASURABILITY O F VELOCITY, WAVE FUNCTION AND DETERMINISTIC
QUANTITIES 139
3.7.3 INITIAL VALUES AND FINAL VALUES 140
3.7.4 NONLINEAR MEASUREMENTS AND THE ROLE O F PRIOR INFORMATION . 141
3.7.5 A POSITION MEASUREMENT THAT DOES NOT MEASURE POSITION . . . 142
3.7.6 THEORY DEPENDENCE O F MEASUREMENT 143
3.8 HIDDEN VARIABLES 144
3.8.1 EXPERIMENTS AND RANDOM VARIABLES 145
3.8.2 RANDOM VARIABLES, OPERATORS, AND THE IMPOSSIBILITY THEOREMS 146
3.8.3 CONTEXTUALITY 148
3.8.4 AGAINST "CONTEXTUALITY" 151
3.8.5 NONLOCALITY, CONTEXTUALITY AND HIDDEN VARIABLES 154
3.9 AGAINST NAIVE REALISM ABOUT OPERATORS 157
REFERENCES 159
4 QUANTUM PHILOSOPHY: THE FLIGHT FROM REASON IN SCIENCE 1 63
REFERENCES 167
PART II QUANTUM MOTION
5 SEVEN STEPS TOWARDS THE CLASSICAL WORLD 171
5.1 INTRODUCTION 171
5.2 MOTION IN AN EXTERNAL POTENTIAL 172
5.3 THE CLASSICAL LIMIT IN BOHMIAN MECHANICS 173
5.4 WAVE PACKETS 175
5.5 LOCAL PLANE WAVES 176
5.6 GENERAL WAVE FUNCTIONS 177
5.7 LIMITATIONS OF THE MODEL: INTERFERENCE AND THE ROLE O F THE
ENVIRONMENT 179
5.8 TOWARDS A MATHEMATICAL CONJECTURE 180
5.9 THE CLASSICAL LIMIT IN A NUTSHELL 182
REFERENCES 182
6 O N THE QUANTUM PROBABILITY FLUX THROUGH SURFACES 1 83
6.1 INTRODUCTION 183
6.2 STANDARD SCATTERING THEORY 184
6.3 NEAR FIELD SCATTERING 187
6.4 BOHMIAN MECHANICS 189
REFERENCES 191
IMAGE 4
XVI C O N T E N T S
7 ON THE WEAK MEASUREMENT O F VELOCITY IN BOHMIAN MECHANICS 1 93
7.1 INTRODUCTION 193
7.2 BOHMIAN ANALYSIS O F WEAK MEASUREMENT OF VELOCITY 196
7.3 A MORE CAREFUL ANALYSIS 199
7.4 BOHMIAN MECHANICS AND THE CRUCIAL CONDITION 200
7.5 THE IMPOSSIBILITY OF MEASURING THE VELOCITY IN BOHMIAN MECHANICS 201
7.6 CONCLUSION 202
REFERENCES 203
8 TOPOLOGICAL FACTORS DERIVED FROM BOHMIAN MECHANICS 205
8.1 INTRODUCTION 205
8.2 BOHMIAN MECHANICS IN RIEMANNIAN MANIFOLDS 206
8.3 SCALAR WAVE FUNCTIONS ON THE COVERING SPACE 209
8.4 VECTOR-VALUED WAVE FUNCTIONS ON THE COVERING SPACE 213
8.5 CONCLUSIONS 218
REFERENCES 219
PART III QUANTUM RELATIVITY
9 HYPERSURFACE BOHM-DIRAC MODELS 223
9.1 INTRODUCTION 223
9.2 THE HYPERSURFACE BOHM-DIRAC MODEL 227
9.3 STATISTICAL ANALYSIS OF THE HBD MODEL 231
9.3.1 QUANTUM EQUILIBRIUM 231
9.3.2 COMPARISON WITH QUANTUM MECHANICS 235
9.4 PERSPECTIVE 237
REFERENCES 238
10 BOHMIAN MECHANICS AND QUANTUM FIELD THEORY 239
10.1 INTRODUCTION 239
10.2 CONFIGURATION SPACE 240
10.3 THE LAWS O F MOTION 242
10.4 FIELD OPERATORS 244
10.5 CONCLUSIONS 245
REFERENCES 246
11 QUANTUM SPACETIME WITHOUT OBSERVERS: ONTOLOGICAL CLARITY AND THE
CONCEPTUAL FOUNDATIONS O F QUANTUM GRAVITY 247
11.1 INTRODUCTION 247
11.2 THE CONCEPTUAL PROBLEMS OF QUANTUM GRAVITY 248
11.3 THE BASIC PROBLEM OF ORTHODOX QUANTUM THEORY: THE LACK OF A
COHERENT ONTOLOGY 252
11.4 BOHMIAN QUANTUM GRAVITY 253
11.5 A UNIVERSAL BOHMIAN THEORY 256
REFERENCES 260
IMAGE 5
CONTENTS X V I I
12 REALITY AND THE ROLE O F THE WAVE FUNCTION IN QUANTUM THEORY 263
12.1 QUESTIONS ABOUT THE WAVE FUNCTION 263
12.2 THE WAVE FUNCTION OF A SUBSYSTEM 264
12.3 THE WAVE FUNCTION AS NOMOLOGICAL 266
12.3.1 COMPARISON O F I/F WITH THE CLASSICAL HAMILTONIAN H 267 12.3.2
I/F VERSUS ^ 268
12.3.3 THE UNIVERSAL LEVEL 268
12.3.4 SCHRODINGER'S EQUATION AS PHENOMENOLOGICAL (EMERGENT) . . 2 7 0
12.3.5 TWO TRANSITIONS 271
12.3.6 NOMOLOGICAL VERSUS NONNOMOLOGICAL 272
12.3.7 RELATIVISTIC BOHMIAN THEORY 272
12.3.8 WAVE FUNCTION AS NOMOLOGICAL AND SYMMETRY 274
12.3.9 POSSIBLE RESOLUTIONS 275
12.3.1 OIJ/ AS QUASI-NOMOLOGICAL 275
12.4 THE STATUS O F THE WAVE FUNCTION IN QUANTUM THEORY 276
REFERENCES 277
INDEX 279 |
any_adam_object | 1 |
author | Dürr, Detlef 1951-2021 Goldstein, Sheldon Zanghi, Nino |
author_GND | (DE-588)10956863X |
author_facet | Dürr, Detlef 1951-2021 Goldstein, Sheldon Zanghi, Nino |
author_role | aut aut aut |
author_sort | Dürr, Detlef 1951-2021 |
author_variant | d d dd s g sg n z nz |
building | Verbundindex |
bvnumber | BV040612729 |
classification_rvk | UK 1000 UK 1200 |
ctrlnum | (OCoLC)824654314 (DE-599)DNB1022288296 |
dewey-full | 530.12 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 530 - Physics |
dewey-raw | 530.12 |
dewey-search | 530.12 |
dewey-sort | 3530.12 |
dewey-tens | 530 - Physics |
discipline | Physik |
format | Book |
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physical | XVII, 284 S. Ill., graph. Darst. 235 mm x 155 mm |
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spelling | Dürr, Detlef 1951-2021 Verfasser (DE-588)10956863X aut Quantum physics without quantum philosophy Detlef Dürr ; Sheldon Goldstein ; Nino Zanghì Berlin [u.a.] Springer 2013 XVII, 284 S. Ill., graph. Darst. 235 mm x 155 mm txt rdacontent n rdamedia nc rdacarrier Literaturangaben. - Enth. bereits erschienene Aufsätze aus Zss. und Büchern Bohmsche Quantenmechanik (DE-588)4414469-6 gnd rswk-swf Bohmsche Quantenmechanik (DE-588)4414469-6 s DE-604 Goldstein, Sheldon Verfasser aut Zanghi, Nino Verfasser aut Erscheint auch als Online-Ausgabe 978-3-642-30690-7 X:MVB text/html http://deposit.dnb.de/cgi-bin/dokserv?id=4028611&prov=M&dok_var=1&dok_ext=htm Inhaltstext DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025440264&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Dürr, Detlef 1951-2021 Goldstein, Sheldon Zanghi, Nino Quantum physics without quantum philosophy Bohmsche Quantenmechanik (DE-588)4414469-6 gnd |
subject_GND | (DE-588)4414469-6 |
title | Quantum physics without quantum philosophy |
title_auth | Quantum physics without quantum philosophy |
title_exact_search | Quantum physics without quantum philosophy |
title_full | Quantum physics without quantum philosophy Detlef Dürr ; Sheldon Goldstein ; Nino Zanghì |
title_fullStr | Quantum physics without quantum philosophy Detlef Dürr ; Sheldon Goldstein ; Nino Zanghì |
title_full_unstemmed | Quantum physics without quantum philosophy Detlef Dürr ; Sheldon Goldstein ; Nino Zanghì |
title_short | Quantum physics without quantum philosophy |
title_sort | quantum physics without quantum philosophy |
topic | Bohmsche Quantenmechanik (DE-588)4414469-6 gnd |
topic_facet | Bohmsche Quantenmechanik |
url | http://deposit.dnb.de/cgi-bin/dokserv?id=4028611&prov=M&dok_var=1&dok_ext=htm http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025440264&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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