Construction of some quantum stochastic operator cocycles by the semigroup method

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dc.contributor.authorLindsay, J. Martinen
dc.contributor.authorWills, Stephen J.en
dc.contributor.funderEuropean Commissionen
dc.date.accessioned2023-07-18T15:26:28Z
dc.date.available2023-07-18T15:26:28Z
dc.date.issued2006-11en
dc.description.abstractA new method for the construction of Fock-adapted quantum stochastic operator 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.en
dc.description.sponsorshipEuropean Commission (EU Research Training Networks EU TMR Networks HPRN-CT-2002-00279 and HPRN-CT-2002-00280)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationLindsay, J.M. and Wills, S.J. (2006) ‘Construction of some quantum stochastic operator cocycles by the semigroup method’, Proceedings of the Indian Academy of Sciences - Section A, 116(4), pp. 519–529. https://doi.org/10.1007/BF02829707.en
dc.identifier.doi10.1007/bf02829707en
dc.identifier.endpage529en
dc.identifier.issn0370-0089en
dc.identifier.issued4en
dc.identifier.journaltitleProceedings of the Indian Academy of Sciencesen
dc.identifier.startpage519en
dc.identifier.urihttps://hdl.handle.net/10468/14749
dc.identifier.volume116en
dc.language.isoenen
dc.publisherIndian Academy of Sciences; Springeren
dc.relation.ispartofProceedings of the Indian Academy of Sciences - Section Aen
dc.relation.urihttps://www.ias.ac.in/article/fulltext/pmsc/116/04/0519-0529en
dc.rights© 2006 the authorsen
dc.subjectQuantum probabilityen
dc.subjectStochastic cocycleen
dc.subjectQuantum stochastic differential equationen
dc.subjectContraction semigroupen
dc.subjectTrotter-Katoen
dc.titleConstruction of some quantum stochastic operator cocycles by the semigroup methoden
dc.typeArticle (peer-reviewed)en
oaire.citation.issue4en
oaire.citation.volume116en
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