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  • © 1995

Quantum Probability for Probabilists

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
  2. Non-commutative probability

    • Paul-André Meyer
    Pages 1-11
  3. Spin

    • Paul-André Meyer
    Pages 13-42
  4. The harmonic oscillator

    • Paul-André Meyer
    Pages 43-56
  5. Fock space (1)

    • Paul-André Meyer
    Pages 57-102
  6. Fock space (2): Multiple fock spaces

    • Paul-André Meyer
    Pages 103-124
  7. Stochastic calculus in Fock space

    • Paul-André Meyer
    Pages 125-194
  8. Independent increments

    • Paul-André Meyer
    Pages 195-208
  9. Back Matter

    Pages 209-312

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.

Keywords

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

Bibliographic Information

Buying options

eBook USD 54.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 69.99
Price excludes VAT (Canada)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions