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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-Verlag, ©1993. Description: 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.

Electronic reproduction. [Place of publication not identified] : HathiTrust Digital Library, 2010. MiAaHDL

Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. MiAaHDL

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

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