Regularity of solutions to linear stochastic Schrodinger equations

dc.creatorMora, Carlos M.
dc.creatorRebolledo, Rolando
dc.date.accessioned2024-01-10T14:21:32Z
dc.date.accessioned2024-05-02T20:15:35Z
dc.date.available2024-01-10T14:21:32Z
dc.date.available2024-05-02T20:15:35Z
dc.date.created2024-01-10T14:21:32Z
dc.date.issued2007
dc.identifier10.1142/S0219025707002725
dc.identifier1793-6306
dc.identifier0219-0257
dc.identifierhttps://doi.org/10.1142/S0219025707002725
dc.identifierhttps://repositorio.uc.cl/handle/11534/79699
dc.identifierWOS:000250893800005
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/9273759
dc.description.abstractWe develop linear stochastic Schrodinger equations driven by standard cylindrical Brownian motions (LSSs) that unravel quantum master equations in Lindblad form into quantum trajectories. More precisely, this paper establishes the existence and uniqueness of the smooth strong solution X-t to a LSS with regular initial condition. Moreover, we obtain that the mean value of the square norm of X-t is constant. We also treat the approximation of LSSs by ordinary stochastic differential equations. We apply our results to:
dc.description.abstract(i) models of quantum measurements of position and momentum; and
dc.description.abstract(ii) a system formed by fermions.
dc.languageen
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.rightsregistro bibliográfico
dc.subjectlinear stochastic Schrodinger equation
dc.subjectstochastic evolution equation
dc.subjectregular solution
dc.subjectexistence and uniqueness
dc.subjectQUANTUM
dc.subjectSEMIGROUPS
dc.titleRegularity of solutions to linear stochastic Schrodinger equations
dc.typeartículo


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