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Quantum Probability for Probabilists

  • Book
  • © 1995

Overview

Authors:
  1. Paul-André Meyer
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1538)

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-X
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  2. Non-commutative probability

    • Paul-AndrĂ© Meyer
    Pages 1-11

  3. Spin

    • Paul-AndrĂ© Meyer
    Pages 13-42

  4. The harmonic oscillator

    • Paul-AndrĂ© Meyer
    Pages 43-56

  5. Fock space (1)

    • Paul-AndrĂ© Meyer
    Pages 57-102

  6. Fock space (2): Multiple fock spaces

    • Paul-AndrĂ© Meyer
    Pages 103-124

  7. Stochastic calculus in Fock space

    • Paul-AndrĂ© Meyer
    Pages 125-194

  8. Independent increments

    • Paul-AndrĂ© Meyer
    Pages 195-208

  9. Back Matter

    Pages 209-312
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Keywords

About this book

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.

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