Introduction to Random Time and Quantum

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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 s…

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    Om Introduction to Random Time and Quantum

    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.Contents:Introduction to Random Time:PrologueStopping TimeMartingale StoppedRandom Past and FutureOther TimesFrom First to LastGapless TimeMarkov Chain in Continuum TimeThe Trouble with the InfiniteIntroduction to Quantum Randomness:Classical PrologueStandard Quantum MechanicsProbabilities in Standard Quantum MechanicsFeynman's Approach to Quantum ProbabilitiesSchrödinger's Euclidean Quantum MechanicsBeyond Feynman's ApproachTime for a DialogueReadership: Graduate students in mathematics and physics.

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    Detaljer

    Format
    E-Bok
    Filformat
    PDF
    Utgivelsesår
    2003
    Forlag
    World Scientific Publishing Co
    Språk
    Engelsk
    ISBN
    9789812795175
    Sider
    224

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