TY - BOOK AU - Meyer,Paul André TI - Quantum probability for probabilists T2 - Lecture notes in mathematics, SN - 9780387564760 AV - QA3QC174.17.P68 .L28 no. 1538 U1 - 519.2 20 PY - 1993/// CY - Berlin, New York PB - Springer-Verlag KW - Probabilities KW - Quantum theory KW - Probabilités KW - fast KW - Kwantummechanica KW - gtt KW - Waarschijnlijkheidstheorie KW - Mathematische fysica KW - Quantenmechanik KW - gnd KW - Wahrscheinlichkeitstheorie KW - Stochastik KW - Electronic books N1 - Includes bibliographical references (pages 277-283) and indexes; 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; Electronic reproduction; [Place of publication not identified]; HathiTrust Digital Library; 2010 N2 - 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 UR - https://link-springer-com.libraryproxy.ist.ac.at/10.1007/978-3-662-21558-6 ER -