Rate of Convergence Towards Semi-Relativistic Hartree Dynamics

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dc.contributor.authorLee, JiOonko
dc.date.accessioned2013-08-08T05:43:03Z-
dc.date.available2013-08-08T05:43:03Z-
dc.date.created2013-03-19-
dc.date.created2013-03-19-
dc.date.issued2013-03-
dc.identifier.citationANNALES HENRI POINCARE, v.14, no.2, pp.313 - 346-
dc.identifier.issn1424-0637-
dc.identifier.urihttp://hdl.handle.net/10203/174519-
dc.description.abstractWe consider the semi-relativistic system of N gravitating Bosons with gravitation constant G. The time evolution of the system is described by the relativistic dispersion law, and we assume the mean-field scaling of the interaction where N -> a and G -> 0 while GN = lambda fixed. In the super-critical regime of large lambda, we introduce the regularized interaction where the cutoff vanishes as N -> a. We show that the difference between the many-body semi-relativistic Schrodinger dynamics and the corresponding semi-relativistic Hartree dynamics is at most of order N (-1) for all lambda, i.e., the result covers the sub-critical regime and the super-critical regime. The N dependence of the bound is optimal.-
dc.languageEnglish-
dc.publisherSPRINGER BASEL AG-
dc.subjectGROSS-PITAEVSKII EQUATION-
dc.subjectCLASSICAL FIELD LIMIT-
dc.subjectMANY-BOSON SYSTEMS-
dc.subjectQUANTUM-MECHANICS-
dc.subjectSCATTERING THEORY-
dc.subjectDERIVATION-
dc.subjectCOLLAPSE-
dc.subjectSTARS-
dc.titleRate of Convergence Towards Semi-Relativistic Hartree Dynamics-
dc.typeArticle-
dc.identifier.wosid000314896800003-
dc.identifier.scopusid2-s2.0-84874020754-
dc.type.rimsART-
dc.citation.volume14-
dc.citation.issue2-
dc.citation.beginningpage313-
dc.citation.endingpage346-
dc.citation.publicationnameANNALES HENRI POINCARE-
dc.identifier.doi10.1007/s00023-012-0188-6-
dc.contributor.localauthorLee, JiOon-
dc.description.isOpenAccessY-
dc.type.journalArticleArticle-
dc.subject.keywordPlusGROSS-PITAEVSKII EQUATION-
dc.subject.keywordPlusCLASSICAL FIELD LIMIT-
dc.subject.keywordPlusMANY-BOSON SYSTEMS-
dc.subject.keywordPlusQUANTUM-MECHANICS-
dc.subject.keywordPlusSCATTERING THEORY-
dc.subject.keywordPlusDERIVATION-
dc.subject.keywordPlusCOLLAPSE-
dc.subject.keywordPlusSTARS-
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