Quantum Probability for Probabilists
β Paul-AndrΓ© Meyer (auth.)
π Library
π
1993
π Springer Berlin Heidelberg
π English
β¦ LIBER β¦
π
Quantum Probability for Probabilists
β Scribed by Paul-AndrΓ© Meyer (auth.)
- Publisher
- Springer-Verlag Berlin Heidelberg
- Year
- 1995
- Tongue
- English
- Leaves
- 321
- Series
- Lecture Notes in Mathematics 1538
- Edition
- 2
- Category
- Library
β¬ Acquire This Volume
No coin nor oath required. For personal study only.
β¦ Synopsis
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.
β¦ Table of Contents
Non-commutative probability....Pages 1-11
Spin....Pages 13-42
The harmonic oscillator....Pages 43-56
Fock space (1)....Pages 57-102
Fock space (2): Multiple fock spaces....Pages 103-124
Stochastic calculus in Fock space....Pages 125-194
Independent increments....Pages 195-208
β¦ Subjects
Probability Theory and Stochastic Processes;Mathematical and Computational Physics
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