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Global-in-time existence of solutions to the multiconfiguration time-dependent Hartree-Fock equations: A sufficient condition

dc.contributor.authorTrabelsi, Saber
dc.contributor.authorMauser, Norbert
dc.contributor.authorBardos, Claude
dc.contributor.authorCatto, Isabelle
HAL ID: 742722
ORCID: 0000-0002-5463-2340
dc.date.accessioned2009-06-19T08:41:59Z
dc.date.available2009-06-19T08:41:59Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/362
dc.language.isoenen
dc.subjectLinear N-particle Schrödinger equation;en
dc.subjectMCTDHF systemen
dc.subjectFew-electron systemsen
dc.subjectGround Stateen
dc.subject.ddc519en
dc.titleGlobal-in-time existence of solutions to the multiconfiguration time-dependent Hartree-Fock equations: A sufficient conditionen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversité de Vienne;Autriche
dc.contributor.editoruniversityotherUniversité Paris 7;France
dc.contributor.editoruniversityotherUniversité Pierre et Marie Curie, Paris;France
dc.description.abstractenThe multiconfiguration time-dependent Hartree–Fock (MCTDHF for short) system is an approximation of the linear many-particle Schrödinger equation with a binary interaction potential by nonlinear “one-particle” equations. MCTDHF methods are widely used for numerical calculations of the dynamics of few-electron systems in quantum physics and quantum chemistry, but the time-dependent case still poses serious open problems for the analysis, e.g. in the sense that global-in-time existence of solutions is not proved yet. In this letter we present the first result ever where global existence is proved under a condition on the initial datum that it has to be somewhat close to the “ground state”.en
dc.relation.isversionofjnlnameApplied Mathematics Letters
dc.relation.isversionofjnlvol22en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2009-02
dc.relation.isversionofjnlpages147-152en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/j.aml.2007.12.033en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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