Quantum probability for probabilists / Paul André Meyer.

By: Meyer, Paul André
Material type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag): 1538.Publisher: Berlin ; New York : Springer-Verlag, ©1993Description: 1 online resource (x, 287 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9780387564760; 0387564764; 9783540602705; 3540602704; 9783662215586; 3662215586Subject(s): Probabilities | Quantum theory | Probabilités | Probabilities | Quantum theory | Kwantummechanica | Waarschijnlijkheidstheorie | Mathematische fysica | Quantenmechanik | Wahrscheinlichkeitstheorie | StochastikGenre/Form: Electronic books. Additional physical formats: Print version:: Quantum probability for probabilists.DDC classification: 519.2 LOC classification: QA3 | .L28 no. 1538 | QC174.17.P68Other classification: 31.70 Online resources: Click here to access online
Contents:
Appendix 4: C*-algebras. 1. Elementary theory. 2. States on C*-algebras. 3. Von Neumann algebras. 4. The Tomita-Takesaki theory -- Appendix 5: Local Times and Fock Space. 1. Dynkin's formula. 2. Le Jan's "supersymmetric" approach.
Action note: digitized 2010 committed to preserveSummary: 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 anintroduction 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.
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Includes bibliographical references (pages 277-283) and indexes.

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Appendix 4: C*-algebras. 1. Elementary theory. 2. States on C*-algebras. 3. Von Neumann algebras. 4. The Tomita-Takesaki theory -- Appendix 5: Local Times and Fock Space. 1. Dynkin's formula. 2. Le Jan's "supersymmetric" approach.

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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 anintroduction 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.

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Quantum probability for probabilists / by Meyer, Paul André. ©1995

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