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

Overview

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 shastic 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 ...

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Paperback (1988)
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Overview

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 shastic 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 K├╝mmerer's review article on Quantum Markov Processes, all contributions are original research papers.

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Product Details

  • ISBN-13: 9783540189190
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 4/4/1988
  • Series: Lecture Notes in Mathematics Series , #1303
  • Edition description: 1988
  • Edition number: 1
  • Pages: 376
  • Product dimensions: 6.14 (w) x 9.21 (h) x 0.78 (d)

Table of Contents

A note on Meyer's note.- Shastic integration.- Quantum shastic parallel transport on non-commutative vector bundles.- Input and output channels in quantum systems and quantum shastic 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 shastic calculus and a generalized ito-tanaka formula.- Representation of a class of quantum martingales II.- Conditional expectation in quantum probability.- Mutual quadratic variation and ito's table in quantum shastic calculus.- On mixing properties of automorphisms of von neumann algebras related to measure space transformations.- First exit time: A theory of stopping times in quantum processes.- A central limit theorem on the free lie group.- Entropy, observability and the generalised second law of thermodynamics.- Remarks on asymptotic properties of groups of the bogoliubov transformations of car c*-algebras.- Linear and non-linear shastic processes.- Detailed balance and critical slowing down.- Quantum martingales and shastic integrals.

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