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Quantum Probability for Probabilists

  • Paul-André Meyer

Part of the Lecture Notes in Mathematics book series (LNM, volume 1538)

Table of contents

  1. Front Matter
    Pages N2-X
  2. Paul-André Meyer
    Pages 1-10
  3. Paul-André Meyer
    Pages 11-40
  4. Paul-André Meyer
    Pages 41-54
  5. Paul-André Meyer
    Pages 55-96
  6. Paul-André Meyer
    Pages 97-116
  7. Paul-André Meyer
    Pages 117-186
  8. Paul-André Meyer
    Pages 187-200
  9. Back Matter
    Pages 201-293

About this book

Introduction

These notes contain all the material accumulated over six years in Strasbourg to teach "Quantum Probability" to myself and to an audience of commutative probabilists. The text, a first version of which appeared in successive volumes of the Seminaire de Probabilite8, has been augmented and carefully rewritten, and translated into international English. Still, it remains true "Lecture Notes" material, and I have resisted suggestions to publish it as a monograph. Being a non-specialist, it is important for me to keep the moderate right to error one has in lectures. The origin of the text also explains the addition "for probabilists" in the title : though much of the material is accessible to the general public, I did not care to redefine Brownian motion or the Ito integral. More precisely than "Quantum Probability" , the main topic is "Quantum Stochastic Calculus" , a field which has recently got official recognition as 81825 in the Math.

Keywords

Fock space Quantum noise Stochastic differential equations Stochastic integration Brownian motion chaos differential equation functional analysis Kernel local time probability quantum noise stochastic calculus stochastic differential equation tensor topology

Authors and affiliations

  • Paul-André Meyer
    • 1
  1. 1.Institut de Recherche Mathématique AvancéeUniversité Louis PasteurStrasbourg-CedexFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-21558-6
  • Copyright Information Springer-Verlag Berlin Heidelberg 1993
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-56476-8
  • Online ISBN 978-3-662-21558-6
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site