Interpreting quantum mechanics: a realistic view in Schrödinger's vein
Gespeichert in:
1. Verfasser: | |
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Format: | Buch |
Sprache: | English |
Veröffentlicht: |
Aldershot
Ashgate
2007
|
Schlagworte: | |
Online-Zugang: | Table of contents only Inhaltsverzeichnis |
Beschreibung: | Includes bibliographical references and index |
Beschreibung: | XII, 195 S. graph. Darst. |
ISBN: | 9780754657385 |
Internformat
MARC
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Datensatz im Suchindex
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adam_text | Contents
List of Figures and Tables jx
Preface xl
1 Interpretative Problems in Quantum Mechanics 1
1.1 Historical background 1
1.2 What is an interpretation of a theory? 2
1.3 Four core problems of interpretation of quantum mechanics 4
1.3.1 Interpretation of the Born rule 4
1.3.2 Wave particle duality and interpretation of the wave function 6
1.3.3 The measurement problem 7
Schrodinger s cat 8
Wigner s friend 9
1.4 Non local interactions 10
2 Realism and Understanding 13
2.1 Realism
2.1.1 Realism and quantum mechanics ] 3
2.1.2 Definition of realism 14
2.2 Interpretation and understanding 18
2.3 Understanding 19
2.4 The semantics of quantum mechanics 24
3 Individuation and Identity in the Quantum World 27
3.1 Introduction 27
3.2 Individuation and Identity 29
Quine s view 29
3.3 Identity criteria 32
3.4 Individuation and Identity in the quantum domain 33
3.5 Individuation and the Identity Postulate 34
3.6 The Identity Postulate and Identity of Indiscernibles 36
3.7 Individuation by different properties 38
3.8 Cardinal and ordinal numbers 39
3.9 On the individuation of systems 41
3.10 Coupling and decoupling of systems 42
3.11 The state of a system 44
3.12 Observables, operators and properties 45
3.13 Actual and potential properties 47
3.14 Probability in Quantum Mechanics 49
vi Interpreting Quantum Mechanics
3.15 Identity of states: real change of state versus change of description 50
Wigner s theorem 51
3.16 Schrodinger evolution with changing Hamiltonian 55
4 Quantum Objects are Waves 57
4.1 Introduction 57
4.2 Interpretation of the wave function 58
4.2.1 Schrodinger s idea 58
4.2.2 Rebuttals of these arguments against the wave interpretation 60
4.3 Adiabatic measurements 67
4.4 Matter wave theory 68
4.5 Wave packets 70
4.6 Empirical results supporting the causal relevance
of partial waves 71
4.7 Dispersion of wave packets 74
4.8 Doppler effect of partial waves 75
4.9 Interaction between matter waves and electromagnetic waves 78
4.10 Space time metric and complex phases of wave equations 80
4.11 The path integral picture and the wave interpretation 82
5 Particle Behaviour of Waves 85
5.1 Introduction 85
5.2 What is meant by quantisation? 85
5.3 Quantisation in other processes 87
5.4 Quantisation of interaction between waves explains
the particle aspect of waves 88
5.5 Some examples of particle behaviour 90
5.5.1 The Compton effect 90
5.5.2 Particle tracks in cloud chambers 91
5.6 Calculations of the size of the electron in collisions 91
6 The Measurement Problem 93
6.1 Introduction 93
6.2 Measurements 95
6.2.1 Measurements as attributions of numerical values to objects 97
6.2.2 Measurements are energy exchange processes 100
6.3 Collapses 106
6.3.1. The non linearity of the collapse 107
6.4 Discontinuity 108
6.5 Randomness 109
6.6 Irreversibility 110
6.7 Irreversibility as a result of randomness 112
6.8 Collapse as loss of coherence 113
6.9 Superposition of macroscopic states 113
6.10 Leggett s argument 114
Contents
vn
6.11 Interaction free measurements ] 17
Comments 120
6.12 Renninger s negative result experiment 121
6.13 Delayed choice 123
6.14 Quantum Eraser (24
7 Quantum Mechanical Spin 129
7.1 Introduction 129
7.2 A visualisable model of spin half objects 129
7.3 A vector model of spin half 130
7.4 The Kochen Specker Theorem 136
8 Non locality 139
8.1 Introduction 139
8.2 Derivation of non locality 141
8.3 Bell s theorem 143
8.4 Bell locality and Einstein locality 145
8.5 Interference of wave packets 146
8.6 Einstein locality and relativity theory 150
8.6.1 The notion of frame of reference and STR 150
8.6.2 Violation of Einstein locality and relativity theory 151
8.6.3 Collapse of the wave function in different frames of reference 152
8.7 Collapse and phase velocity 152
8.8 Violation of locality in interactions between two
two level atoms 154
8.9 The Aharonov Bohm effect 155
8.10 Conclusion 157
9 Gentle Criticism 159
9.1 Introduction 159
9.2 The Copenhagen interpretation 159
9.3 The measurement problem in the Copenhagen interpretation 162
9.4 The many worlds interpretation 164
9.4.1 Criticism of the many worlds interpretation 164
9.5 The de Broglie Bohm interpretation 166
9.6 The GRW Theory 169
9.6.1 Albert s criticism 170
9.7 The decoherence theory 172
10 Summary and Conclusions 175
10.1 Realism and Quantum Mechanics 175
10.2 The equivalence between matter and energy 175
10.3 Objects in quantum mechanics 177
10.4 Wave particle duality and complementarity 177
10.5 Historical remarks 178
viii Interpreting Quantum Mechanics
10.6 From orthodox quantum theory to quantum field theory 182
10.6.1 Individuation in QFT 182
10.6.2 Fields and events the whole and its parts 183
10.7 An unsolved problem 185
Bibliography 187
Index 193
List of Figures and Tables
Figure 1.1
Figure 1.2
Figure 4.1
Figure 4.2
Figure 5.1
Figure 6.1
Figure 6.2
Figure 6.3
Figure 6.4
Figure 6.5
Figure 6.6
Figure 6.7
Figure 7.1
Figure 7.2
Figure 8.1
Figure 8.2
Figure 8.3
Figure 8.4
Table 4.1
Table 8.1
A delayed choice experiment
Schrodinger s cat experiment
Principal arrangement of time of flight neutron
interferometry. The recombined neutron beam will go
to the upper or lower detector depending on the turning of the
first phase shifter
The first curve shows the relative contrast in the entire
neutron pulse as a function of the thickness of the inserted
Bismuth sample
Compton scattering
A measurement on spin half particles
Particles with spin up in the x directions pass two
S G magnets, the first oriented in the y directions and the
second in the x direction
Reuniting two separated beams will result in the revival of
the original spin state
Preparation of a definite spin state
Interaction free measurement of the position of a bomb
Renninger s negative result measurement
A Hong Ou Mandel interferometer
A vector model of spin half
Vector model of a S+ eigenstate rotating around a B2 field
The function | 1 + cos f + cos (p cos 2q |. There is a
contradiction between Bell s inequality and quantum mechanics
when the correlation function is above the line y = 2
Two wave packets travelling in opposite directions
{k kof
The function cj (k) = exp
for given
2 cos kx
This figure represents two wave packets as seen in Ar space.
The scale is arbitrary
A principal set up for testing the AB effect
Comparison between the motions of a vibrating plate
and quantum mechanics of a free particle
The possible values of the function gn
6
9
72
73
90
101
102
103
105
118
122
124
131
134
145
148
148
148
156
64
143
|
adam_txt |
Contents
List of Figures and Tables jx
Preface xl
1 Interpretative Problems in Quantum Mechanics 1
1.1 Historical background 1
1.2 What is an interpretation of a theory? 2
1.3 Four core problems of interpretation of quantum mechanics 4
1.3.1 Interpretation of the Born rule 4
1.3.2 Wave particle duality and interpretation of the wave function 6
1.3.3 The measurement problem 7
Schrodinger's cat 8
Wigner's friend 9
1.4 Non local interactions 10
2 Realism and Understanding 13
2.1 Realism
2.1.1 Realism and quantum mechanics ] 3
2.1.2 Definition of realism 14
2.2 Interpretation and understanding 18
2.3 Understanding 19
2.4 The semantics of quantum mechanics 24
3 Individuation and Identity in the Quantum World 27
3.1 Introduction 27
3.2 Individuation and Identity 29
Quine's view 29
3.3 Identity criteria 32
3.4 Individuation and Identity in the quantum domain 33
3.5 Individuation and the Identity Postulate 34
3.6 The Identity Postulate and Identity of Indiscernibles 36
3.7 Individuation by different properties 38
3.8 Cardinal and ordinal numbers 39
3.9 On the individuation of systems 41
3.10 Coupling and decoupling of systems 42
3.11 The state of a system 44
3.12 Observables, operators and properties 45
3.13 Actual and potential properties 47
3.14 Probability in Quantum Mechanics 49
vi Interpreting Quantum Mechanics
3.15 Identity of states: real change of state versus change of description 50
Wigner's theorem 51
3.16 Schrodinger evolution with changing Hamiltonian 55
4 Quantum Objects are Waves 57
4.1 Introduction 57
4.2 Interpretation of the wave function 58
4.2.1 Schrodinger's idea 58
4.2.2 Rebuttals of these arguments against the wave interpretation 60
4.3 Adiabatic measurements 67
4.4 Matter wave theory 68
4.5 Wave packets 70
4.6 Empirical results supporting the causal relevance
of partial waves 71
4.7 Dispersion of wave packets 74
4.8 Doppler effect of partial waves 75
4.9 Interaction between matter waves and electromagnetic waves 78
4.10 Space time metric and complex phases of wave equations 80
4.11 The path integral picture and the wave interpretation 82
5 Particle Behaviour of Waves 85
5.1 Introduction 85
5.2 What is meant by quantisation? 85
5.3 Quantisation in other processes 87
5.4 Quantisation of interaction between waves explains
the particle aspect of waves 88
5.5 Some examples of particle behaviour 90
5.5.1 The Compton effect 90
5.5.2 Particle tracks in cloud chambers 91
5.6 Calculations of the size of the electron in collisions 91
6 The Measurement Problem 93
6.1 Introduction 93
6.2 Measurements 95
6.2.1 Measurements as attributions of numerical values to objects 97
6.2.2 Measurements are energy exchange processes 100
6.3 Collapses 106
6.3.1. The non linearity of the collapse 107
6.4 Discontinuity 108
6.5 Randomness 109
6.6 Irreversibility 110
6.7 Irreversibility as a result of randomness 112
6.8 Collapse as loss of coherence 113
6.9 Superposition of macroscopic states 113
6.10 Leggett's argument 114
Contents
vn
6.11 Interaction free measurements ] 17
Comments 120
6.12 Renninger's negative result experiment 121
6.13 Delayed choice 123
6.14 Quantum Eraser (24
7 Quantum Mechanical Spin 129
7.1 Introduction 129
7.2 A visualisable model of spin half objects 129
7.3 A vector model of spin half 130
7.4 The Kochen Specker Theorem 136
8 Non locality 139
8.1 Introduction 139
8.2 Derivation of non locality 141
8.3 Bell's theorem 143
8.4 Bell locality and Einstein locality 145
8.5 Interference of wave packets 146
8.6 Einstein locality and relativity theory 150
8.6.1 The notion of frame of reference and STR 150
8.6.2 Violation of Einstein locality and relativity theory 151
8.6.3 Collapse of the wave function in different frames of reference 152
8.7 Collapse and phase velocity 152
8.8 Violation of locality in interactions between two
two level atoms 154
8.9 The Aharonov Bohm effect 155
8.10 Conclusion 157
9 Gentle Criticism 159
9.1 Introduction 159
9.2 The Copenhagen interpretation 159
9.3 The measurement problem in the Copenhagen interpretation 162
9.4 The many worlds interpretation 164
9.4.1 Criticism of the many worlds interpretation 164
9.5 The de Broglie Bohm interpretation 166
9.6 The GRW Theory 169
9.6.1 Albert's criticism 170
9.7 The decoherence theory 172
10 Summary and Conclusions 175
10.1 Realism and Quantum Mechanics 175
10.2 The equivalence between matter and energy 175
10.3 Objects in quantum mechanics 177
10.4 Wave particle duality and complementarity 177
10.5 Historical remarks 178
viii Interpreting Quantum Mechanics
10.6 From orthodox quantum theory to quantum field theory 182
10.6.1 Individuation in QFT 182
10.6.2 Fields and events the whole and its parts 183
10.7 An unsolved problem 185
Bibliography 187
Index 193
List of Figures and Tables
Figure 1.1
Figure 1.2
Figure 4.1
Figure 4.2
Figure 5.1
Figure 6.1
Figure 6.2
Figure 6.3
Figure 6.4
Figure 6.5
Figure 6.6
Figure 6.7
Figure 7.1
Figure 7.2
Figure 8.1
Figure 8.2
Figure 8.3
Figure 8.4
Table 4.1
Table 8.1
A delayed choice experiment
Schrodinger's cat experiment
Principal arrangement of time of flight neutron
interferometry. The recombined neutron beam will go
to the upper or lower detector depending on the turning of the
first phase shifter
The first curve shows the relative contrast in the entire
neutron pulse as a function of the thickness of the inserted
Bismuth sample
Compton scattering
A measurement on spin half particles
Particles with spin up in the x directions pass two
S G magnets, the first oriented in the y directions and the
second in the x direction
Reuniting two separated beams will result in the revival of
the original spin state
Preparation of a definite spin state
Interaction free measurement of the position of a 'bomb'
Renninger's negative result measurement
A Hong Ou Mandel interferometer
A vector model of spin half
Vector model of a S+ eigenstate rotating around a B2 field
The function | 1 + cos f + cos (p cos 2q |. There is a
contradiction between Bell's inequality and quantum mechanics
when the correlation function is above the line y = 2
Two wave packets travelling in opposite directions
{k kof
The function cj (k) = exp
for given
2 cos kx
This figure represents two wave packets as seen in Ar space.
The scale is arbitrary
A principal set up for testing the AB effect
Comparison between the motions of a vibrating plate
and quantum mechanics of a free particle
The possible values of the function gn
6
9
72
73
90
101
102
103
105
118
122
124
131
134
145
148
148
148
156
64
143 |
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isbn | 9780754657385 |
language | English |
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physical | XII, 195 S. graph. Darst. |
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spelling | Johansson, Lars-Göran Verfasser aut Interpreting quantum mechanics a realistic view in Schrödinger's vein Lars-Goran Johansson Aldershot Ashgate 2007 XII, 195 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Includes bibliographical references and index Quantentheorie Quantum theory Quantentheorie (DE-588)4047992-4 gnd rswk-swf Quantentheorie (DE-588)4047992-4 s DE-604 http://www.loc.gov/catdir/toc/ecip076/2006100194.html Table of contents only HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016221091&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
spellingShingle | Johansson, Lars-Göran Interpreting quantum mechanics a realistic view in Schrödinger's vein Quantentheorie Quantum theory Quantentheorie (DE-588)4047992-4 gnd |
subject_GND | (DE-588)4047992-4 |
title | Interpreting quantum mechanics a realistic view in Schrödinger's vein |
title_auth | Interpreting quantum mechanics a realistic view in Schrödinger's vein |
title_exact_search | Interpreting quantum mechanics a realistic view in Schrödinger's vein |
title_exact_search_txtP | Interpreting quantum mechanics a realistic view in Schrödinger's vein |
title_full | Interpreting quantum mechanics a realistic view in Schrödinger's vein Lars-Goran Johansson |
title_fullStr | Interpreting quantum mechanics a realistic view in Schrödinger's vein Lars-Goran Johansson |
title_full_unstemmed | Interpreting quantum mechanics a realistic view in Schrödinger's vein Lars-Goran Johansson |
title_short | Interpreting quantum mechanics |
title_sort | interpreting quantum mechanics a realistic view in schrodinger s vein |
title_sub | a realistic view in Schrödinger's vein |
topic | Quantentheorie Quantum theory Quantentheorie (DE-588)4047992-4 gnd |
topic_facet | Quantentheorie Quantum theory |
url | http://www.loc.gov/catdir/toc/ecip076/2006100194.html http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=016221091&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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