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Structure des cocycles markoviens sur l'espace de Fock
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  • Published: 01 June 1987

Structure des cocycles markoviens sur l'espace de Fock

  • J. -L. Journé1 

Probability Theory and Related Fields volume 75, pages 291–316 (1987)Cite this article

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Summary

We show that strongly continuous unitary Markov cocycles on Fock space are solutions of a quantum stochastic Schrödinger equation and give their explicit form through a decomposition of Fock space on the eigenspaces of the number operator. We also give necessary and sufficient conditions for a generalized Hamiltonian to be the generator of such a cocycle. This generalizes the work of Hudson and Parthasarathy in the norm-continuous case.

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Références

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Authors and Affiliations

  1. Departement de Mathématique, Université de Strasbourg, 7 rue René Descartes, F-67, Strasbourg, France

    J. -L. Journé

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  1. J. -L. Journé
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Journé, J.L. Structure des cocycles markoviens sur l'espace de Fock. Probab. Th. Rel. Fields 75, 291–316 (1987). https://doi.org/10.1007/BF00354039

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  • Received: 15 May 1986

  • Published: 01 June 1987

  • Issue Date: June 1987

  • DOI: https://doi.org/10.1007/BF00354039

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