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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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Otros Autores: Chung, Kai Lai, 1917-2009, Zambrini, Jean-Claude
Formato: Electrónico eBook
Idioma:Inglés
Publicado: River Edge, N.J. : World Scientific, 2003.
Edición:New ed.
Colección:Monographs of the Portuguese Mathematical Society ; v. 1.
Temas:
Acceso en línea:Texto completo

MARC

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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. 
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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. 
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650 0 |a Quantum chaos. 
650 0 |a Random fields. 
650 0 |a Mathematical physics. 
650 0 |a Stochastic processes. 
650 2 |a Stochastic Processes 
650 6 |a Chaos quantique. 
650 6 |a Champs aléatoires. 
650 6 |a Physique mathématique. 
650 6 |a Processus stochastiques. 
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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. 
700 1 |a Zambrini, Jean-Claude. 
776 0 8 |i Print version:  |t Introduction to random time and quantum randomness.  |b New ed.  |d River Edge, N.J. : World Scientific, 2003  |z 9812383883  |z 9789812383884  |w (DLC) 2003053533  |w (OCoLC)52257546 
830 0 |a Monographs of the Portuguese Mathematical Society ;  |v v. 1. 
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