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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorTriay, Arnaud
dc.date.accessioned2019-07-26T09:24:58Z
dc.date.available2019-07-26T09:24:58Z
dc.date.issued2019-04
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/19495
dc.language.isoenen
dc.subjectGross-Pitaevskii equationen
dc.subjectdipolar gasesen
dc.subject.ddc520en
dc.titleDerivation of the time-dependent Gross-Pitaevskii equation for the dipolar gasesen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe derive the time-dependent dipolar Gross-Pitaevskii (GP) equation from the N-body Schrödinger equation. More precisely we show a norm approximation for the solution of the many body equation as well as the convergence of its one-body reduced density matrix towards the orthogonal projector onto the solution of the dipolar GP equation. We consider the interpolation regime where interaction potential is scaled like N3β−1w(Nβ(x−y)), the range of validity of β depends on the stability of the ground state problem. In particular we can prove the convergence on the one-body density matrix assuming wˆ≥0 and β<3/8.en
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages22en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02091613en
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.identifier.citationdate2019-04
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2019-07-26T09:23:34Z
hal.author.functionaut


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