Quantum causality: conceptual issues in the causal theory of quantum mechanics
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| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
[Dordrecht]
Springer Netherland
2009
|
| Series: | Studies in history and philosophy of science
23 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Item Description: | Literaturverz. S. 203 - 222 und Webliogr. S. 222 - 223 |
| Physical Description: | 230 S. Ill. 24 cm |
| ISBN: | 9789048124022 |
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Record in the Search Index
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Contents
List of Figures
.xi
1
General Introduction
1.1
Quantum Reality
.1
1.2
Causation, Causality, and Determinism
.5
1.3
Introducing the Causal Theory of Quantum Mechanics
.10
1.4
Assessing Rival Scientific Theories
.14
1.5
Conceptual Issues, Theoretical and Conceptual Problems
.15
2
Preliminaries
2.1
Orthodox Quantum Theory and its Mathematical
Formalism
.19
2.2.1
Axioms of Orthodox Quantum Theory
.23
2.2
Uncertainty at the Quantum Level
.27
2.3
The Measurement Problem and Quantum Paradoxes
.31
2.3.1
The Measurement Problem
.31
2.3.2 Einstein-Podosky-Rosen (EPR)
Paradox
.34
2.3.3 Schrödinger's
Cat
.35
2.4
'Hidden Variable' Theories and Impossibility Proofs
.36
2.4.1 Kochen
and Specker Theorem
.37
2.4.2
Bell's Theorem
.41
3
The Causal Theory of Quantum Mechanics
3.1
Motivations for the Causal Theory
.45
3.2
An Axiomatic Foundation
.48
3.2.1
Axioms of the Causal Theory (Single Particle Case)
.50
3.3
One Particle States
.51
3.4
Statistical Predictions
.59
3.5
Dynamic Theory of Measurement
.62
3.6
Many Particle States and Non-Locality
.67
3.6.1
Many Particle Systems in the Causal Theory
.67
3.6.2
The Reality of the Many-Particle Wave Field
.69
3.6.3
The Non-Locality Aspect
.72
VII
viii Contents
3.7 Resolution
of the Quantum Paradoxes
.73
3.7.1
EPR (Einstein-Podosky-Rosen)
.73
3.7.2 Schrödinger's
Cat
.74
3.8
Transition to the Classical Realm
.74
3.9
Quantum Equilibrium, Metaphysics, and Consistency
.75
3.9.1
The Quantum Equilibrium Condition
.75
3.9.2
Metaphysical Labelling
.77
3.9.3
Consistency of the Causal Theory
.78
4
Energy and the Wave Field
4.1
The Wave Field and the Concept of Energy
.79
4.2
The Active Information Hypothesis
.84
4.3
A Non-Interactive Approach to the Wave Field
.88
4.4
The Physical Nature of Potential Energy
.90
4.5
The Existence and Characteristics of the Wave Field
.95
4.5.1
The Double Slit Experiment
.96
4.5.2
The Aharonov-Bohm Effect
.99
4.5.3
Matter Wave Manipulation
.101
4.6
Non-Locality and the Wave Field
.104
4.7
Can the Causal Theory be made Relativistic?
.107
5
Energy-Momentum Transfer and the Quantum Potential
5.1
Energy Conservation in the Causal Theory?
.109
5.2
Energy-Momentum Exchange in Single Particle States
.110
5.2.1
Aspects of Energy Transfer and Storage in a
Quantum System
.113
5.2.2
Non-Violation of Special Relativity
.114
5.3
Wave Field Energy and its Transfer
.115
5.3.1
Application to the Gaussian Wave Field
.120
5.4
Quantum Reaction?
.124
5.5
The Wave Field and the Quantum Potential
.126
5.6
The Wave Field and Physical Measurement
.132
5.7
Tunnelling from a Quantum Well
.135
5.8
The Quantum Mechanical Force
.137
5.9
Empirical Consequences
.142
5. 9.1
A Crucial Experiment?
.143
Contents ix
6
The Exclusion Principle
6.1
What is the Exclusion Principle?
.147
6.1.1
The Appeal to the 'Indistinguishability' of
Identical Particles
.149
6.1.2
'Indistinguishability' and Wave Field Overlap
.152
6.2
Quantum Mechanical Spin
.157
6.3
The Exclusion Principle in the Causal Theory
.166
6.4
A Basis for the Exclusion Principle
.171
6.5
Modelling of Fermionic Wave Fields
.176
Concluding Remarks
.181
Appendices
Appendix A: The Gaussian Wave Packet
.187
Appendix B: Derivatives and Integrals
.194
Appendix C: Hamiltonian of a Classically-free Gaussian
Quantum System
.195
Appendix D: Energy Content of a Gaussian Wave Field
.197
Appendix E: Summary of Defined Principles
.199
Bibliography
.203
Index
.225 |
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| id | DE-604.BV035592288 |
| illustrated | Illustrated |
| indexdate | 2024-09-20T14:01:12Z |
| institution | BVB |
| isbn | 9789048124022 |
| language | English |
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| owner_facet | DE-12 DE-210 DE-703 DE-11 |
| physical | 230 S. Ill. 24 cm |
| publishDate | 2009 |
| publishDateSearch | 2009 |
| publishDateSort | 2009 |
| publisher | Springer Netherland |
| record_format | marc |
| series | Studies in history and philosophy of science |
| series2 | Studies in history and philosophy of science |
| spelling | Riggs, Peter J. Verfasser aut Quantum causality conceptual issues in the causal theory of quantum mechanics by Peter J. Riggs [Dordrecht] Springer Netherland 2009 230 S. Ill. 24 cm txt rdacontent n rdamedia nc rdacarrier Studies in history and philosophy of science 23 Literaturverz. S. 203 - 222 und Webliogr. S. 222 - 223 Kausalität (DE-588)4030102-3 gnd rswk-swf Philosophie (DE-588)4045791-6 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 s Kausalität (DE-588)4030102-3 s Philosophie (DE-588)4045791-6 s b DE-604 Erscheint auch als Online-Ausgabe 978-90-481-2403-9 Studies in history and philosophy of science 23 (DE-604)BV021235860 23 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=017647485&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Riggs, Peter J. Quantum causality conceptual issues in the causal theory of quantum mechanics Studies in history and philosophy of science Kausalität (DE-588)4030102-3 gnd Philosophie (DE-588)4045791-6 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| subject_GND | (DE-588)4030102-3 (DE-588)4045791-6 (DE-588)4047989-4 |
| title | Quantum causality conceptual issues in the causal theory of quantum mechanics |
| title_auth | Quantum causality conceptual issues in the causal theory of quantum mechanics |
| title_exact_search | Quantum causality conceptual issues in the causal theory of quantum mechanics |
| title_full | Quantum causality conceptual issues in the causal theory of quantum mechanics by Peter J. Riggs |
| title_fullStr | Quantum causality conceptual issues in the causal theory of quantum mechanics by Peter J. Riggs |
| title_full_unstemmed | Quantum causality conceptual issues in the causal theory of quantum mechanics by Peter J. Riggs |
| title_short | Quantum causality |
| title_sort | quantum causality conceptual issues in the causal theory of quantum mechanics |
| title_sub | conceptual issues in the causal theory of quantum mechanics |
| topic | Kausalität (DE-588)4030102-3 gnd Philosophie (DE-588)4045791-6 gnd Quantenmechanik (DE-588)4047989-4 gnd |
| topic_facet | Kausalität Philosophie Quantenmechanik |
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