Please use this identifier to cite or link to this item: https://olympias.lib.uoi.gr/jspui/handle/123456789/13474
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dc.contributor.authorAmbrosio, Luigien
dc.contributor.authorFigalli, Alessioen
dc.contributor.authorFriesecke, Geroen
dc.contributor.authorGiannoulis, Johannesen
dc.contributor.authorPaul, Thierryen
dc.date.accessioned2015-11-24T17:27:56Z-
dc.date.available2015-11-24T17:27:56Z-
dc.identifier.issn1097-0312-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13474-
dc.rightsDefault Licence-
dc.titleSemiclassical limit of quantum dynamics with rough potentials and well-posedness of transport equations with measure initial dataen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.primary10.1002/cpa.20371-
heal.identifier.secondaryhttp://dx.doi.org/10.1002/cpa.20371-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.publicationDate2011-
heal.abstractIn this paper we study the semiclassical limit of the Schrodinger equation. Under mild regularity assumptions on the potential U, which include Born-Oppenheimer potential energy surfaces in molecular dynamics, we establish asymptotic validity of classical dynamics globally in space and time for almost all initial data, with respect to an appropriate reference measure on the space of initial data. In order to achieve this goal we prove existence, uniqueness, and stability results for the flow in the space of measures induced by the continuity equation. © 2011 Wiley Periodicals, Inc.en
heal.publisherWiley-Blackwellen
heal.journalNameCommunications on Pure and Applied Mathematicsen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ

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