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Quantum probability for probabilists / Paul-André Meyer.

By: Meyer, Paul AndréMaterial type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1538.Publication details: Berlin ; New York : Springer, ©1995. Edition: 2nd edDescription: 1 online resource (x, 312 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540369592; 3540369597Subject(s): Probabilities | Quantum theory | Probabilities | Quantum theoryGenre/Form: Electronic books. Additional physical formats: Print version:: Quantum probability for probabilists.DDC classification: 510 s | 530.1/2/015192 LOC classification: QA3 | .L28 no. 1538 1995 | QC174.17.P68Online resources: Click here to access online
Contents:
Non-commutative probability -- Spin -- The harmonic oscillator -- Fock space (1) -- Fock space (2): Multiple fock spaces -- Stochastic calculus in Fock space -- Independent increments.
Summary: 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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Includes bibliographical references (pages 300-307) and indexes.

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.

Print version record.

Non-commutative probability -- Spin -- The harmonic oscillator -- Fock space (1) -- Fock space (2): Multiple fock spaces -- Stochastic calculus in Fock space -- Independent increments.

English.

Other editions of this work

Other editions
Quantum probability for probabilists / by Meyer, Paul André. ©1993
Quantum probability for probabilists / by Meyer, Paul André. ©1993
Quantum probability for probabilists / by Meyer, Paul André. ©1993
Quantum probability for probabilists / by Meyer, Paul André. ©1993

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