Basic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions

Simple item page
dc.creatorMora, Carlos M.
dc.creatorRebolledo, Rolando
dc.date2008-04-01
dc.date.accessioned2026-07-07T12:18:01Z
dc.date.available2026-07-07T12:18:01Z
dc.descriptionThe paper is devoted to the study of nonlinear stochastic Schrödinger equations driven by standard cylindrical Brownian motions (NSSEs) arising from the unraveling of quantum master equations. Under the Born--Markov approximations, this class of stochastic evolutions equations on Hilbert spaces provides characterizations of both continuous quantum measurement processes and the evolution of quantum systems. First, we deal with the existence and uniqueness of regular solutions to NSSEs. Second, we provide two general criteria for the existence of regular invariant measures for NSSEs. We apply our results to a forced and damped quantum oscillator.
dc.descriptionPublished in at http://dx.doi.org/10.1214/105051607000000311 the Annals of Applied Probability (http://www.imstat.org/aap/) by the Institute of Mathematical Statistics (http://www.imstat.org)
dc.identifierhttps://arxiv.org/abs/0804.0121
dc.identifierhttp://arxiv.org/abs/0804.0121
dc.identifierAnnals of Applied Probability 2008, Vol. 18, No. 2, 591-619
dc.identifierdoi:10.1214/105051607000000311
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212269
dc.subjectProbability
dc.subject60H15 (Primary) 60H30, 37L40, 81S25, 81P15 (Secondary)
dc.titleBasic properties of nonlinear stochastic Schrödinger equations driven by Brownian motions
dc.typetext

Files

Collections

arXiv