Quantum Probability for Probabilists

  • Authors
  • Paul-André Meyer

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

Table of contents

  1. Front Matter
    Pages I-X
  2. Paul-André Meyer
    Pages 1-11
  3. Paul-André Meyer
    Pages 13-42
  4. Paul-André Meyer
    Pages 43-56
  5. Paul-André Meyer
    Pages 57-102
  6. Paul-André Meyer
    Pages 103-124
  7. Paul-André Meyer
    Pages 125-194
  8. Paul-André Meyer
    Pages 195-208
  9. Back Matter
    Pages 209-312

About this book

Introduction

In recent years, the classical theory of stochastic integration and stochastic differential equations has been extended to a non-commutative set-up to develop models for quantum noises. The author, a specialist of classical stochastic calculus and martingale theory, tries to provide an introduction to this rapidly expanding field in a way which should be accessible to probabilists familiar with the Ito integral. It can also, on the other hand, provide a means of access to the methods of stochastic calculus for physicists familiar with Fock space analysis. For this second edition, the author has added about 30 pages of new material, mostly on quantum stochastic integrals.

Keywords

Fock space Martingale Quantum noise Stochastic calculus Stochastic differential equations Stochastic integration

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0084701
  • Copyright Information Springer-Verlag Berlin Heidelberg 1995
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-60270-5
  • Online ISBN 978-3-540-36959-2
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • About this book