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dc.contributor.authorTriay, Arnaud*
dc.date.accessioned2017-11-24T15:23:57Z
dc.date.available2017-11-24T15:23:57Z
dc.date.issued2017
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17043
dc.language.isoenen
dc.subjectDipolar
dc.subjectBose Gas
dc.subjectGross-Pitaevskii
dc.subject.ddc520en
dc.titleDerivation of the dipolar Gross-Pitaevskii energy
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider N trapped bosons in R 3 interacting via a pair potential w which has a long range of dipolar type. We show the convergence of the energy and of the minimizers for the many-body problem towards those of the dipolar Gross-Pitaevskii functional, when N tends to infinity. In addition to the usual cubic interaction term, the latter has the long range dipolar interaction. Our results hold under the assumption that the two-particle interaction is scaled in the form N 3β−1 w(N β x) for some 0 ≤ β < βmax with βmax = 1/3 + s/(45 + 42s) where s is related to the growth of the trapping potential.
dc.identifier.citationpages
dc.relation.ispartofseriestitle
dc.relation.isversionofjnlnameSIAM Journal on mathematical analysis
dc.relation.isversionofjnlvol50
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnlpages33-63
dc.relation.isversionofdoi10.1137/17M112378X
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-12-15T17:21:30Z
hal.person.labIds60*


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