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Construction of some quantum stochastic operator cocycles by the semigroup method.

Lindsay, J. Martin and Wills, Stephen J. (2006) Construction of some quantum stochastic operator cocycles by the semigroup method. Proceedings of the Indian Academy of Sciences (Mathematical Sciences), 116 (4 Issu). pp. 519-529. ISSN 0253-4142

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    Abstract

    A new method for the construction of Fock-adapted operator Markovian cocycles is outlined, and its use is illustrated by application to a number of examples arising in physics and probability. The construction uses the Trotter-Kato Theorem and a recent characterisation of such cocycles in terms of an associated family of contraction semigroups.

    Item Type: Article
    Journal or Publication Title: Proceedings of the Indian Academy of Sciences (Mathematical Sciences)
    Additional Information: The original publication is available at www.springerlink.com
    Uncontrolled Keywords: Quantum probability ; stochastic cocycle ; quantum stochastic differential equation ; contraction semigroup ; Trotter–Kato.
    Subjects: Q Science > QA Mathematics
    Departments: Faculty of Science and Technology > Mathematics and Statistics
    ID Code: 34523
    Deposited By: Professor J. Martin Lindsay
    Deposited On: 22 Nov 2010 09:47
    Refereed?: Yes
    Published?: Published
    Last Modified: 09 Oct 2013 13:14
    Identification Number:
    URI: http://eprints.lancs.ac.uk/id/eprint/34523

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