Quantum stochastic operator cocycles via associated semigroups

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dc.contributor.authorLindsay, J. Martinen
dc.contributor.authorWills, Stephen J.
dc.date.accessioned2023-08-10T10:29:56Z
dc.date.available2023-07-26T10:08:05Zen
dc.date.available2023-08-10T10:29:56Z
dc.date.issued2007-05-01
dc.date.updated2023-07-26T09:08:07Zen
dc.description.abstractA recent characterisation of Fock-adapted contraction operator stochastic cocycles on a Hilbert space, in terms of their associated semigroups, yields a general principle for the construction of such cocycles by approximation of their stochastic generators. This leads to new existence results for quantum stochastic differential equations. We also give necessary and sufficient conditions for a cocycle to satisfy such an equation.
dc.description.statusPeer revieweden
dc.description.versionAccepted Version
dc.format.mimetypeapplication/pdfen
dc.identifier.citationLindsay, J. M. and Wills, S.J. (2007) 'Quantum stochastic operator cocycles via associated semigroups', Mathematical Proceedings of the Cambridge Philosophical Society, 142(3), pp. 535-556. doi: 10.1017/S0305004106009923
dc.identifier.doi10.1017/S0305004106009923
dc.identifier.eissn1469-8064
dc.identifier.endpage556
dc.identifier.issn0305-0041
dc.identifier.issued3
dc.identifier.journaltitleMathematical Proceedings of the Cambridge Philosophical Society
dc.identifier.startpage535
dc.identifier.urihttps://hdl.handle.net/10468/14811
dc.identifier.volume142
dc.language.isoenen
dc.publisherCambridge University Press
dc.rights© 2007, Cambridge Philosophical Society. This material is free to view and download for personal use only. Not for re-distribution, re-sale or use in derivative works.
dc.subjectOperator cocycle
dc.subjectQuantum stochastic differential equation
dc.subjectGenerator
dc.subjectSemigroup
dc.subjectExponential domain
dc.titleQuantum stochastic operator cocycles via associated semigroups
dc.typeArticle (peer-reviewed)
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