Introduction to random time and quantum randomness /:
This book is made up of two essays on the role of time in probability and quantum physics. In the first one, K.L. Chung explains why, in his view, probability theory starts where random time appears. This idea is illustrated in various probability schemes and the deep impact of those random times on...
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| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
River Edge, N.J. :
World Scientific,
2003.
|
| Ausgabe: | New ed. |
| Schriftenreihe: | Monographs of the Portuguese Mathematical Society ;
v. 1. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | This book is made up of two essays on the role of time in probability and quantum physics. In the first one, K.L. Chung explains why, in his view, probability theory starts where random time appears. This idea is illustrated in various probability schemes and the deep impact of those random times on the theory of the stochastic process is shown. In the second essay J.-C. Zambrini shows why quantum physics is not a regular probabilistic theory, but also why stochastic analysis provides new tools for analyzing further the meaning of Feynman's path integral approach and a number of foundational issues of quantum physics far beyond what is generally considered. The role of the time parameter, in this theory, is critically re-examined and a fresh way to approach the long-standing problem of the quantum time observable is suggested. |
| Beschreibung: | 1 online resource (xii, 211 pages) |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789812795175 9812795170 |
Internformat
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| 245 | 0 | 0 | |a Introduction to random time and quantum randomness / |c Kai Lai Chung, Jean-Claude Zambrini. |
| 250 | |a New ed. | ||
| 260 | |a River Edge, N.J. : |b World Scientific, |c 2003. | ||
| 300 | |a 1 online resource (xii, 211 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 1 | |a Monographs of the Portuguese Mathematical Society ; |v v. 1 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 505 | 0 | |a Foreword to part 1 -- pt. 1. Introduction to random time. 1. Prologue -- 2. Stopping time -- 3. Martingale stopped -- 4. Random past and future -- 5. Other times -- 6. From first to last -- 7. Gapless time -- 8. Markov chain in continuum time -- 9. The trouble with the infinite -- Foreword to part 2 -- pt. 2. Introduction to quantum randomness. 1. Classical prologue -- 2. Standard quantum mechanics -- 3. Probabilities in standard quantum mechanics -- 4. Feynman's approach to quantum probabilities. 4.1. Lagrangian mechanics. 4.2 Feynman's space-time reinterpretation of quantum mechanics -- 5. Schrödinger's Euclidean quantum mechanics. 5.1. A probabilistic interpretation of Feynman's approach. 5.2. Feynman's results revisited -- 6. Beyond Feynman's approach. 6.1. More quantum symmetries. 6.2. Introduction to functional calculus -- 7. Time for a dialogue. | |
| 520 | |a This book is made up of two essays on the role of time in probability and quantum physics. In the first one, K.L. Chung explains why, in his view, probability theory starts where random time appears. This idea is illustrated in various probability schemes and the deep impact of those random times on the theory of the stochastic process is shown. In the second essay J.-C. Zambrini shows why quantum physics is not a regular probabilistic theory, but also why stochastic analysis provides new tools for analyzing further the meaning of Feynman's path integral approach and a number of foundational issues of quantum physics far beyond what is generally considered. The role of the time parameter, in this theory, is critically re-examined and a fresh way to approach the long-standing problem of the quantum time observable is suggested. | ||
| 650 | 0 | |a Quantum chaos. |0 http://id.loc.gov/authorities/subjects/sh92000828 | |
| 650 | 0 | |a Random fields. |0 http://id.loc.gov/authorities/subjects/sh85111347 | |
| 650 | 0 | |a Mathematical physics. |0 http://id.loc.gov/authorities/subjects/sh85082129 | |
| 650 | 0 | |a Stochastic processes. |0 http://id.loc.gov/authorities/subjects/sh85128181 | |
| 650 | 2 | |a Stochastic Processes |0 https://id.nlm.nih.gov/mesh/D013269 | |
| 650 | 6 | |a Chaos quantique. | |
| 650 | 6 | |a Champs aléatoires. | |
| 650 | 6 | |a Physique mathématique. | |
| 650 | 6 | |a Processus stochastiques. | |
| 650 | 7 | |a SCIENCE |x Physics |x Quantum Theory. |2 bisacsh | |
| 650 | 7 | |a Mathematical physics |2 fast | |
| 650 | 7 | |a Quantum chaos |2 fast | |
| 650 | 7 | |a Random fields |2 fast | |
| 650 | 7 | |a Stochastic processes |2 fast | |
| 650 | 1 | 7 | |a Random walks (statistiek) |2 gtt |
| 650 | 1 | 7 | |a Kwantummechanica. |2 gtt |
| 650 | 1 | 7 | |a Stochastische processen. |2 gtt |
| 650 | 7 | |a Processos estocasticos (aplicações) |2 larpcal | |
| 650 | 7 | |a Física. |2 larpcal | |
| 650 | 7 | |a Mecânica quântica. |2 larpcal | |
| 700 | 1 | |a Chung, Kai Lai, |d 1917-2009. |1 https://id.oclc.org/worldcat/entity/E39PBJf4bk3x6kxb3GqJXqBgKd |0 http://id.loc.gov/authorities/names/n79026666 | |
| 700 | 1 | |a Zambrini, Jean-Claude. | |
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Datensatz im Suchindex
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| author2 | Chung, Kai Lai, 1917-2009 Zambrini, Jean-Claude |
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| contents | Foreword to part 1 -- pt. 1. Introduction to random time. 1. Prologue -- 2. Stopping time -- 3. Martingale stopped -- 4. Random past and future -- 5. Other times -- 6. From first to last -- 7. Gapless time -- 8. Markov chain in continuum time -- 9. The trouble with the infinite -- Foreword to part 2 -- pt. 2. Introduction to quantum randomness. 1. Classical prologue -- 2. Standard quantum mechanics -- 3. Probabilities in standard quantum mechanics -- 4. Feynman's approach to quantum probabilities. 4.1. Lagrangian mechanics. 4.2 Feynman's space-time reinterpretation of quantum mechanics -- 5. Schrödinger's Euclidean quantum mechanics. 5.1. A probabilistic interpretation of Feynman's approach. 5.2. Feynman's results revisited -- 6. Beyond Feynman's approach. 6.1. More quantum symmetries. 6.2. Introduction to functional calculus -- 7. Time for a dialogue. |
| ctrlnum | (OCoLC)263146073 |
| dewey-full | 530.12 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.12 |
| dewey-search | 530.12 |
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| discipline | Physik |
| edition | New ed. |
| format | Electronic eBook |
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| id | ZDB-4-EBA-ocn263146073 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-27T13:16:33Z |
| institution | BVB |
| isbn | 9789812795175 9812795170 |
| language | English |
| oclc_num | 263146073 |
| open_access_boolean | |
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| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource (xii, 211 pages) |
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| series | Monographs of the Portuguese Mathematical Society ; |
| series2 | Monographs of the Portuguese Mathematical Society ; |
| spelling | Introduction to random time and quantum randomness / Kai Lai Chung, Jean-Claude Zambrini. New ed. River Edge, N.J. : World Scientific, 2003. 1 online resource (xii, 211 pages) text txt rdacontent computer c rdamedia online resource cr rdacarrier Monographs of the Portuguese Mathematical Society ; v. 1 Includes bibliographical references and index. Print version record. Foreword to part 1 -- pt. 1. Introduction to random time. 1. Prologue -- 2. Stopping time -- 3. Martingale stopped -- 4. Random past and future -- 5. Other times -- 6. From first to last -- 7. Gapless time -- 8. Markov chain in continuum time -- 9. The trouble with the infinite -- Foreword to part 2 -- pt. 2. Introduction to quantum randomness. 1. Classical prologue -- 2. Standard quantum mechanics -- 3. Probabilities in standard quantum mechanics -- 4. Feynman's approach to quantum probabilities. 4.1. Lagrangian mechanics. 4.2 Feynman's space-time reinterpretation of quantum mechanics -- 5. Schrödinger's Euclidean quantum mechanics. 5.1. A probabilistic interpretation of Feynman's approach. 5.2. Feynman's results revisited -- 6. Beyond Feynman's approach. 6.1. More quantum symmetries. 6.2. Introduction to functional calculus -- 7. Time for a dialogue. This book is made up of two essays on the role of time in probability and quantum physics. In the first one, K.L. Chung explains why, in his view, probability theory starts where random time appears. This idea is illustrated in various probability schemes and the deep impact of those random times on the theory of the stochastic process is shown. In the second essay J.-C. Zambrini shows why quantum physics is not a regular probabilistic theory, but also why stochastic analysis provides new tools for analyzing further the meaning of Feynman's path integral approach and a number of foundational issues of quantum physics far beyond what is generally considered. The role of the time parameter, in this theory, is critically re-examined and a fresh way to approach the long-standing problem of the quantum time observable is suggested. Quantum chaos. http://id.loc.gov/authorities/subjects/sh92000828 Random fields. http://id.loc.gov/authorities/subjects/sh85111347 Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Stochastic Processes https://id.nlm.nih.gov/mesh/D013269 Chaos quantique. Champs aléatoires. Physique mathématique. Processus stochastiques. SCIENCE Physics Quantum Theory. bisacsh Mathematical physics fast Quantum chaos fast Random fields fast Stochastic processes fast Random walks (statistiek) gtt Kwantummechanica. gtt Stochastische processen. gtt Processos estocasticos (aplicações) larpcal Física. larpcal Mecânica quântica. larpcal Chung, Kai Lai, 1917-2009. https://id.oclc.org/worldcat/entity/E39PBJf4bk3x6kxb3GqJXqBgKd http://id.loc.gov/authorities/names/n79026666 Zambrini, Jean-Claude. Print version: Introduction to random time and quantum randomness. New ed. River Edge, N.J. : World Scientific, 2003 9812383883 9789812383884 (DLC) 2003053533 (OCoLC)52257546 Monographs of the Portuguese Mathematical Society ; v. 1. http://id.loc.gov/authorities/names/n2003010502 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235621 Volltext |
| spellingShingle | Introduction to random time and quantum randomness / Monographs of the Portuguese Mathematical Society ; Foreword to part 1 -- pt. 1. Introduction to random time. 1. Prologue -- 2. Stopping time -- 3. Martingale stopped -- 4. Random past and future -- 5. Other times -- 6. From first to last -- 7. Gapless time -- 8. Markov chain in continuum time -- 9. The trouble with the infinite -- Foreword to part 2 -- pt. 2. Introduction to quantum randomness. 1. Classical prologue -- 2. Standard quantum mechanics -- 3. Probabilities in standard quantum mechanics -- 4. Feynman's approach to quantum probabilities. 4.1. Lagrangian mechanics. 4.2 Feynman's space-time reinterpretation of quantum mechanics -- 5. Schrödinger's Euclidean quantum mechanics. 5.1. A probabilistic interpretation of Feynman's approach. 5.2. Feynman's results revisited -- 6. Beyond Feynman's approach. 6.1. More quantum symmetries. 6.2. Introduction to functional calculus -- 7. Time for a dialogue. Quantum chaos. http://id.loc.gov/authorities/subjects/sh92000828 Random fields. http://id.loc.gov/authorities/subjects/sh85111347 Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Stochastic Processes https://id.nlm.nih.gov/mesh/D013269 Chaos quantique. Champs aléatoires. Physique mathématique. Processus stochastiques. SCIENCE Physics Quantum Theory. bisacsh Mathematical physics fast Quantum chaos fast Random fields fast Stochastic processes fast Random walks (statistiek) gtt Kwantummechanica. gtt Stochastische processen. gtt Processos estocasticos (aplicações) larpcal Física. larpcal Mecânica quântica. larpcal |
| subject_GND | http://id.loc.gov/authorities/subjects/sh92000828 http://id.loc.gov/authorities/subjects/sh85111347 http://id.loc.gov/authorities/subjects/sh85082129 http://id.loc.gov/authorities/subjects/sh85128181 https://id.nlm.nih.gov/mesh/D013269 |
| 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_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 | Quantum chaos. http://id.loc.gov/authorities/subjects/sh92000828 Random fields. http://id.loc.gov/authorities/subjects/sh85111347 Mathematical physics. http://id.loc.gov/authorities/subjects/sh85082129 Stochastic processes. http://id.loc.gov/authorities/subjects/sh85128181 Stochastic Processes https://id.nlm.nih.gov/mesh/D013269 Chaos quantique. Champs aléatoires. Physique mathématique. Processus stochastiques. SCIENCE Physics Quantum Theory. bisacsh Mathematical physics fast Quantum chaos fast Random fields fast Stochastic processes fast Random walks (statistiek) gtt Kwantummechanica. gtt Stochastische processen. gtt Processos estocasticos (aplicações) larpcal Física. larpcal Mecânica quântica. larpcal |
| topic_facet | Quantum chaos. Random fields. Mathematical physics. Stochastic processes. Stochastic Processes Chaos quantique. Champs aléatoires. Physique mathématique. Processus stochastiques. SCIENCE Physics Quantum Theory. Mathematical physics Quantum chaos Random fields Stochastic processes Random walks (statistiek) Kwantummechanica. Stochastische processen. Processos estocasticos (aplicações) Física. Mecânica quântica. |
| url | https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=235621 |
| work_keys_str_mv | AT chungkailai introductiontorandomtimeandquantumrandomness AT zambrinijeanclaude introductiontorandomtimeandquantumrandomness |