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Quantum Probability and Applications III

Proceedings of a Conference held in Oberwolfach, FRG, January 25-31, 1987

  • Conference proceedings
  • © 1988

Overview

Editors:
  1. Luigi Accardi
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  2. Wilhelm Waldenfels
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Part of the book series: Lecture Notes in Mathematics (LNM, volume 1303)

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Table of contents (27 papers)

  1. Front Matter

    Pages I-VI
    Download chapter PDF

  2. A note on Meyer's note

    • Luigi Accardi
    Pages 1-5

  3. Stochastic integration

    • Luigi Accardi, Franco Fagnola
    Pages 6-19

  4. Quantum stochastic parallel transport on non-commutative vector bundles

    • David Applebaum
    Pages 20-36

  5. Input and output channels in quantum systems and quantum stochastic differential equations

    • Alberto Barchielli
    Pages 37-51

  6. Some noncommutative Radon-Nikodym Theorems for von Neumann algebras

    • Carlo Cecchini
    Pages 52-68

  7. Multidimensional quantum diffusions

    • M. Evans, R. L. Hudson
    Pages 69-88

  8. An application of de finetti's theorem

    • M. Fannes
    Pages 89-102

  9. The quantum Langevin equation from the independent-oscillator model

    • G. W. Ford
    Pages 103-106

  10. Quantum poisson processes: Physical motivations and applications

    • Alberto Frigerio
    Pages 107-127

  11. A noncommutative generalization of conditionally positive definite functions

    • A. S. Holevo
    Pages 128-148

  12. Contraction semigroups in L2 over a von neumann algebra

    • Ryszard Jajte
    Pages 149-153

  13. Survey on a theory of non-commutative stationary markov processes

    • Burkhard Kümmerer
    Pages 154-182

  14. Dynamical entropy for quantum systems

    • Göran Lindblad
    Pages 183-191

  15. An integral kernel approach to noise

    • Martin Lindsay, Hans Maassen
    Pages 192-208

  16. A note on shifts and cocycles

    • P. A. Meyer
    Pages 209-212

  17. Local measures in fock space stochastic calculus and a generalized ito-tanaka formula

    • K. R. Parthasarathy
    Pages 213-231

  18. Representation of a class of quantum martingales II

    • K. R. Parthasarathy, Kalyan B. Sinha
    Pages 232-250

  19. Conditional expectation in quantum probability

    • Dènes Petz
    Pages 251-260

  20. Mutual quadratic variation and ito's table in quantum stochastic calculus

    • Johan Quaegebeur
    Pages 261-274
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Keywords

About this book

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.

Bibliographic Information

  • Book Title: Quantum Probability and Applications III

  • Book Subtitle: Proceedings of a Conference held in Oberwolfach, FRG, January 25-31, 1987

  • Editors: Luigi Accardi, Wilhelm Waldenfels

  • Series Title: Lecture Notes in Mathematics

  • DOI: https://doi.org/10.1007/BFb0078049

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1988

  • Softcover ISBN: 978-3-540-18919-0Published: 24 February 1988

  • eBook ISBN: 978-3-540-38846-3Published: 15 November 2006

  • Series ISSN: 0075-8434

  • Series E-ISSN: 1617-9692

  • Edition Number: 1

  • Number of Pages: VIII, 376

  • Topics: Probability Theory and Stochastic Processes, Theoretical, Mathematical and Computational Physics

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