Please use this identifier to cite or link to this item: https://libjncir.jncasr.ac.in/xmlui/handle/10572/2280
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dc.contributor.authorJi, Un Cig
dc.contributor.authorSinha, Kalyan B.
dc.date.accessioned2017-01-24T06:51:54Z-
dc.date.available2017-01-24T06:51:54Z-
dc.date.issued2016
dc.identifier.citationJi, U. C.; Sinha, K. B., Quantum stochastic calculus associated with quadratic quantum noises. Journal of Mathematical Physics 2016, 57 (2), 17 http://dx.doi.org/10.1063/1.4939919en_US
dc.identifier.citationJournal of Mathematical Physicsen_US
dc.identifier.citation57en_US
dc.identifier.citation2en_US
dc.identifier.issn0022-2488
dc.identifier.urihttps://libjncir.jncasr.ac.in/xmlui/10572/2280-
dc.descriptionRestricted Accessen_US
dc.description.abstractWe first study a class of fundamental quantum stochastic processes induced by the generators of a six dimensional non-solvable Lie dagger-algebra consisting of all linear combinations of the generalized Gross Laplacian and its adjoint, annihilation operator, creation operator, conservation, and time, and then we study the quantum stochastic integrals associated with the class of fundamental quantum stochastic processes, and the quantum Ito formula is revisited. The existence and uniqueness of solution of a quantum stochastic differential equation is proved. The unitarity conditions of solutions of quantum stochastic differential equations associated with the fundamental processes are examined. The quantum stochastic calculus extends the Hudson-Parthasarathy quantum stochastic calculus. (C) 2016 AIP Publishing LLC.en_US
dc.description.uri1089-7658en_US
dc.description.urihttp://dx.doi.org/10.1063/1.4939919en_US
dc.language.isoEnglishen_US
dc.publisherAmerican Institute Physicsen_US
dc.rights@American Institute Physics, 2016en_US
dc.subjectPhysicsen_US
dc.subjectWhite-Noiseen_US
dc.subjectDifferential-Equationsen_US
dc.subjectFock Spaceen_US
dc.subjectOperatorsen_US
dc.subjectEvolutionsen_US
dc.subjectTermsen_US
dc.subjectRepresentationen_US
dc.subjectFunctionalsen_US
dc.subjectSemigroupsen_US
dc.subjectDilationen_US
dc.titleQuantum stochastic calculus associated with quadratic quantum noisesen_US
dc.typeArticleen_US
Appears in Collections:Research Articles (Kalyan B. Sinha)

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