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College of Natural Sciences(자연과학대학)Dept. of Mathematical Sciences(수리과학과)MA-Journal Papers(저널논문)

Rate of Convergence Towards Hartree Dynamics

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dc.contributor.authorChen, Liko
dc.contributor.authorLee, JiOonko
dc.contributor.authorSchlein, Benjaminko
dc.date.accessioned2013-03-09T04:14:40Z-
dc.date.available2013-03-09T04:14:40Z-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.created2012-02-06-
dc.date.issued2011-08-
dc.identifier.citationJOURNAL OF STATISTICAL PHYSICS, v.144, no.4, pp.872 - 903-
dc.identifier.issn0022-4715-
dc.identifier.urihttp://hdl.handle.net/10203/95328-
dc.description.abstractWe consider a system of N bosons interacting through a two-body potential with, possibly, Coulomb-type singularities. We show that the difference between the many-body Schrodinger evolution in the mean-field regime and the effective nonlinear Hartree dynamics is at most of the order 1/N, for any fixed time. The N-dependence of the bound is optimal.-
dc.languageEnglish-
dc.publisherSpringer-
dc.titleRate of Convergence Towards Hartree Dynamics-
dc.typeArticle-
dc.identifier.wosid000294228400010-
dc.identifier.scopusid2-s2.0-80052067950-
dc.type.rimsART-
dc.citation.volume144-
dc.citation.issue4-
dc.citation.beginningpage872-
dc.citation.endingpage903-
dc.citation.publicationnameJOURNAL OF STATISTICAL PHYSICS-
dc.contributor.localauthorLee, JiOon-
dc.contributor.nonIdAuthorChen, Li-
dc.contributor.nonIdAuthorSchlein, Benjamin-
dc.type.journalArticleArticle-
dc.subject.keywordAuthorMany body quantum dynamics-
dc.subject.keywordAuthorHartree equation-
dc.subject.keywordAuthorMean field limit-
dc.subject.keywordPlusCLASSICAL FIELD LIMIT-
dc.subject.keywordPlusMANY-BOSON SYSTEMS-
dc.subject.keywordPlusSCATTERING THEORY-
dc.subject.keywordPlusQUANTUM DYNAMICS-
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