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Semi-classical limit of the Levy-Lieb functional in Density Functional Theory

hal.structure.identifier
dc.contributor.authorLewin, Mathieu
HAL ID: 1466
ORCID: 0000-0002-1755-0207		*
dc.date.accessioned2017-11-29T14:19:08Z
dc.date.available2017-11-29T14:19:08Z
dc.date.issued2018
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17105
dc.language.isoenen
dc.subjectLevy-Lieb functional
dc.subjectDensity Functional Theory
dc.subject.ddc520en
dc.titleSemi-classical limit of the Levy-Lieb functional in Density Functional Theory
dc.title.alternativeLimite semi-classique de la fonctionnelle de Levy–Lieb en théorie de la fonctionnelle de densité
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn a recent work, Bindini and De Pascale have introduced a regularization of N-particle symmetric probabilities which preserves their one-particle marginals. In this short note, we extend their construction to mixed quantum fermionic states. This enables us to prove the convergence of the Levy-Lieb functional in Density Functional Theory , to the corresponding multi-marginal optimal transport in the semi-classical limit. Our result holds for mixed states of any particle number N, with or without spin.
dc.relation.isversionofjnlnameComptes rendus. Mathématique
dc.relation.isversionofjnlvol356
dc.relation.isversionofjnlissue4
dc.relation.isversionofjnldate2018
dc.relation.isversionofjnlpages449-455
dc.relation.isversionofdoi10.1016/j.crma.2018.03.002
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01534079
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-12-15T17:36:17Z
hal.author.functionaut


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