Regularity of solutions to linear stochastic Schrodinger equations

Simple item page
dc.contributor.authorMora, Carlos M.
dc.contributor.authorRebolledo, Rolando
dc.date.accessioned2024-01-10T14:21:32Z
dc.date.available2024-01-10T14:21:32Z
dc.date.issued2007
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.fechaingreso.objetodigital2024-05-14
dc.format.extent23 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1142/S0219025707002725
dc.identifier.eissn1793-6306
dc.identifier.issn0219-0257
dc.identifier.urihttps://doi.org/10.1142/S0219025707002725
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/79699
dc.identifier.wosidWOS:000250893800005
dc.information.autorucMatemática;Rebolledo R;S/I;99203
dc.issue.numero2
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final259
dc.pagina.inicio237
dc.publisherWORLD SCIENTIFIC PUBL CO PTE LTD
dc.revistaINFINITE DIMENSIONAL ANALYSIS QUANTUM PROBABILITY AND RELATED TOPICS
dc.rightsacceso restringido
dc.subjectlinear stochastic Schrodinger equation
dc.subjectstochastic evolution equation
dc.subjectregular solution
dc.subjectexistence and uniqueness
dc.subjectQUANTUM
dc.subjectSEMIGROUPS
dc.subject.ods09 Industry, Innovation and Infrastructure
dc.subject.odspa09 Industria, innovación e infraestructura
dc.titleRegularity of solutions to linear stochastic Schrodinger equations
dc.typeartículo
dc.volumen10
sipa.codpersvinculados99203
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
Regularity of solutions to linear stochastic Schrodinger equations.pdf
Size:
2.44 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Artículos de revistas