Stochastic methods in quantum mechanics:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York
North-Holland
1979
|
| Series: | North-Holland series in probability and applied mathematics
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 219 S. |
| ISBN: | 0444002995 |
Staff View
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Record in the Search Index
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| adam_text | Contents
Preface
1. The History of Quantum Mechanics 1
1.1. Early History 1
1.2. Enter Probability 6
1.3. Some Comparisons 10
1.4. Notes and References 12
1.5. Exercises 12
2. A Different Kind of Probability 14
2.1. Interference Effects 14
2.2. Classical and Quantum Probability 20
2.3. Conditional Expectation 27
2.4. Notes and References 33
2.5. Exercises 33
3. The Quantum Logic Approach 35
3.1. States and Observables 35
3.2. Event Structures 41
3.3. Compatibility 45
3.4. A Variance Theorem 51
3.5. Uniqueness and Existence 54
3.6. Hidden Variables 59
3.7. Generalized Probability Spaces 65
3.8. Notes and References 72
3.9. Exercises 72
viii Contents
4. The Operational Approach 75
4.1. Convex Structures 75
4.2. Operations and Instruments 79
4.3. Examples 84
4.4. Conditional Expectations 88
4.5. Total Convex Structures 94
4.6. Hilbert Space Quantum Mechanics 102
4.7. Notes and References 108
4.8. Exercises 109
5. Mathematical Interlude 111
5.1. Tempered Distributions 111
5.2. Orthogonal Additivity 121
5.3. C*-Algebras 131
5.4. Notes and References 139
5.5. Exercises 139
6. Random Fields 141
6.1. The Wiener Process 141
6.2. Definitions and Examples 144
6.3. Gaussian Random Fields 150
6.4. Random Fields on -rf (Rn) 160
6.5. Notes and References 163
6.6. Exercises 163
7. Quantum Field Theory 165
7.1. Canonical Commutation Relations 165
7.2. Infinite Degrees of Freedom 168
7.3. The Wightman Axioms 179
7.4. Fock Space 189
7.5. Euclidean Random Fields 193
7.6. Notes and References 198
7.7. Exercises 199
Bibliography 201
Index 215
|
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| dewey-search | 530.1/2/015192 |
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| discipline | Physik Mathematik |
| format | Book |
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| indexdate | 2024-07-09T15:38:42Z |
| institution | BVB |
| isbn | 0444002995 |
| language | English |
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| physical | X, 219 S. |
| publishDate | 1979 |
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| series2 | North-Holland series in probability and applied mathematics |
| spelling | Gudder, Stanley P. Verfasser aut Stochastic methods in quantum mechanics New York North-Holland 1979 X, 219 S. txt rdacontent n rdamedia nc rdacarrier North-Holland series in probability and applied mathematics Kwantummechanica gtt Processus stochastiques Stochastische methoden gtt Théorie quantique Quantentheorie Quantum theory Stochastic processes Stochastik (DE-588)4121729-9 gnd rswk-swf Methode (DE-588)4038971-6 gnd rswk-swf Quantenstatistik (DE-588)4047991-2 gnd rswk-swf Quantentheorie (DE-588)4047992-4 gnd rswk-swf Quantenmechanik (DE-588)4047989-4 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Quantentheorie (DE-588)4047992-4 s DE-604 Quantenmechanik (DE-588)4047989-4 s Stochastik (DE-588)4121729-9 s Methode (DE-588)4038971-6 s Quantenstatistik (DE-588)4047991-2 s Stochastischer Prozess (DE-588)4057630-9 s HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=001306523&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Gudder, Stanley P. Stochastic methods in quantum mechanics Kwantummechanica gtt Processus stochastiques Stochastische methoden gtt Théorie quantique Quantentheorie Quantum theory Stochastic processes Stochastik (DE-588)4121729-9 gnd Methode (DE-588)4038971-6 gnd Quantenstatistik (DE-588)4047991-2 gnd Quantentheorie (DE-588)4047992-4 gnd Quantenmechanik (DE-588)4047989-4 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
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| title | Stochastic methods in quantum mechanics |
| title_auth | Stochastic methods in quantum mechanics |
| title_exact_search | Stochastic methods in quantum mechanics |
| title_full | Stochastic methods in quantum mechanics |
| title_fullStr | Stochastic methods in quantum mechanics |
| title_full_unstemmed | Stochastic methods in quantum mechanics |
| title_short | Stochastic methods in quantum mechanics |
| title_sort | stochastic methods in quantum mechanics |
| topic | Kwantummechanica gtt Processus stochastiques Stochastische methoden gtt Théorie quantique Quantentheorie Quantum theory Stochastic processes Stochastik (DE-588)4121729-9 gnd Methode (DE-588)4038971-6 gnd Quantenstatistik (DE-588)4047991-2 gnd Quantentheorie (DE-588)4047992-4 gnd Quantenmechanik (DE-588)4047989-4 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| topic_facet | Kwantummechanica Processus stochastiques Stochastische methoden Théorie quantique Quantentheorie Quantum theory Stochastic processes Stochastik Methode Quantenstatistik Quantenmechanik Stochastischer Prozess |
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