Quantum Probability and Applications III : Proceedings of a Conference held in Oberwolfach, FRG, January 25-31, 1987. 1st ed. 1988

種類:

電子ブック

責任表示:

edited by Luigi Accardi, Wilhelm v. Waldenfels

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 1988

著者名:

• Accardi, Luigi.
• Waldenfels, Wilhelm v.
• SpringerLink (Online service)

シリーズ名:

Lecture Notes in Mathematics ; 1303

ISBN:

9783540388463 [354038846X]    

注記:

A note on Meyer's note -- Stochastic integration -- Quantum stochastic parallel transport on non-commutative vector bundles -- Input and output channels in quantum systems and quantum stochastic differential equations -- Some noncommutative Radon-Nikodym Theorems for von Neumann algebras -- Multidimensional quantum diffusions -- An application of de finetti's theorem -- The quantum Langevin equation from the independent-oscillator model -- Quantum poisson processes: Physical motivations and applications -- A noncommutative generalization of conditionally positive definite functions -- Contraction semigroups in L2 over a von neumann algebra -- Survey on a theory of non-commutative stationary markov processes -- Dynamical entropy for quantum systems -- An integral kernel approach to noise -- A note on shifts and cocycles -- Local measures in fock space stochastic calculus and a generalized ito-tanaka formula -- Representation of a class of quantum martingales II -- Conditional expectation in quantum probability
These proceedings of the first Quantum Probability meeting held in Oberwolfach is the fourth in a series begun with the 1982 meeting of Mondragone and continued in Heidelberg ('84) and in Leuven ('85). The main topics discussed were: quantum stochastic calculus, mathematical models of quantum noise and their applications to quantum optics, the quantum Feynman-Kac formula, quantum probability and models of quantum statistical mechanics, the notion of conditioning in quantum probability and related problems (dilations, quantum Markov processes), quantum central limit theorems. With the exception of Kümmerer's review article on Quantum Markov Processes, all contributions are original research papers.

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