Introduction to random time and quantum randomness:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Hackensack, NJ [u.a.]
World Scientific
2003
|
| Ausgabe: | New ed. |
| Schriftenreihe: | Monographs of the Portuguese Mathematical Society
1 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XII, 211 S. graph. Darst. |
| ISBN: | 9812383883 9812384154 |
Internformat
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Datensatz im Suchindex
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| adam_text | Titel: Introduction to random time and quantum randomness
Autor: Chung, Kai Lai
Jahr: 2003
Contents
Monographs of the Portuguese Mathematical Society v
Monografías da Sociedade Portuguesa de Matemática vii
Guide ix
Foreword to Part 1 1
Part 1. Introduction to Random Time
1 Prologue............................. 3
2 Stopping time.......................... 11
3 Martingale stopped....................... 18
4 Random past and future.................... 28
5 Other times........................... 36
6 From first to last........................ 47
7 Gapless time .......................... 58
8 Markov chain in continuum time............... 64
9 The trouble with the infinite ................. 69
References.............................. 76
Foreword to Part 2 79
Part 2. Introduction to Quantum Randomness
1 Classical prologue........................ 85
2 Standard quantum mechanics................. 93
3 Probabilities in standard quantum mechanics........ 108
4 Feynman s approach to quantum probabilities........ 118
4.1 Lagrangian mechanics................. 118
4.2 Feynman s space-time reinterpretation of quantum
mechanics........................ 123
xii Contents
5 Schrödinger s Euclidean quantum mechanics......... 143
5.1 A probabilistic interpretation of Feynman s approach 143
5.2 Feynman s results revisited .............. 157
6 Beyond Feynman s approach................. 171
6.1 More quantum symmetries............... 171
6.2 Introduction to functional calculus.......... 190
7 Time for a dialogue....................... 196
References.............................. 205
Index 209
|
| adam_txt |
Titel: Introduction to random time and quantum randomness
Autor: Chung, Kai Lai
Jahr: 2003
Contents
Monographs of the Portuguese Mathematical Society v
Monografías da Sociedade Portuguesa de Matemática vii
Guide ix
Foreword to Part 1 1
Part 1. Introduction to Random Time
1 Prologue. 3
2 Stopping time. 11
3 Martingale stopped. 18
4 Random past and future. 28
5 Other times. 36
6 From first to last. 47
7 Gapless time . 58
8 Markov chain in continuum time. 64
9 The trouble with the infinite . 69
References. 76
Foreword to Part 2 79
Part 2. Introduction to Quantum Randomness
1 Classical prologue. 85
2 Standard quantum mechanics. 93
3 Probabilities in standard quantum mechanics. 108
4 Feynman's approach to quantum probabilities. 118
4.1 Lagrangian mechanics. 118
4.2 Feynman's space-time reinterpretation of quantum
mechanics. 123
xii Contents
5 Schrödinger's Euclidean quantum mechanics. 143
5.1 A probabilistic interpretation of Feynman's approach 143
5.2 Feynman's results revisited . 157
6 Beyond Feynman's approach. 171
6.1 More quantum symmetries. 171
6.2 Introduction to functional calculus. 190
7 Time for a dialogue. 196
References. 205
Index 209 |
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| edition | New ed. |
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| language | English |
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| spelling | Chung, Kai Lai 1917-2009 Verfasser (DE-588)136125484 aut Introduction to random time and quantum randomness Kai Lai Chung ; Jean-Claude Zambrini New ed. Hackensack, NJ [u.a.] World Scientific 2003 XII, 211 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Monographs of the Portuguese Mathematical Society 1 Quantenmechanik - Stochastische Analysis Mathematische Physik Quantum chaos Random fields Mathematical physics Stochastic processes Quantenchaos (DE-588)4130849-9 gnd rswk-swf Zufälliges Feld (DE-588)4191094-1 gnd rswk-swf Stochastischer Prozess (DE-588)4057630-9 gnd rswk-swf Quantenchaos (DE-588)4130849-9 s Zufälliges Feld (DE-588)4191094-1 s Stochastischer Prozess (DE-588)4057630-9 s DE-604 Zambrini, Jean-Claude Verfasser aut Monographs of the Portuguese Mathematical Society 1 (DE-604)BV022616911 1 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015693200&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Chung, Kai Lai 1917-2009 Zambrini, Jean-Claude Introduction to random time and quantum randomness Monographs of the Portuguese Mathematical Society Quantenmechanik - Stochastische Analysis Mathematische Physik Quantum chaos Random fields Mathematical physics Stochastic processes Quantenchaos (DE-588)4130849-9 gnd Zufälliges Feld (DE-588)4191094-1 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
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| title | Introduction to random time and quantum randomness |
| title_auth | Introduction to random time and quantum randomness |
| title_exact_search | Introduction to random time and quantum randomness |
| title_exact_search_txtP | Introduction to random time and quantum randomness |
| title_full | Introduction to random time and quantum randomness Kai Lai Chung ; Jean-Claude Zambrini |
| title_fullStr | Introduction to random time and quantum randomness Kai Lai Chung ; Jean-Claude Zambrini |
| title_full_unstemmed | Introduction to random time and quantum randomness Kai Lai Chung ; Jean-Claude Zambrini |
| title_short | Introduction to random time and quantum randomness |
| title_sort | introduction to random time and quantum randomness |
| topic | Quantenmechanik - Stochastische Analysis Mathematische Physik Quantum chaos Random fields Mathematical physics Stochastic processes Quantenchaos (DE-588)4130849-9 gnd Zufälliges Feld (DE-588)4191094-1 gnd Stochastischer Prozess (DE-588)4057630-9 gnd |
| topic_facet | Quantenmechanik - Stochastische Analysis Mathematische Physik Quantum chaos Random fields Mathematical physics Stochastic processes Quantenchaos Zufälliges Feld Stochastischer Prozess |
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