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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
Tabla de Contenidos:
  • 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.