Show simple item record

The semi-classical limit of large fermionic systems

hal.structure.identifier
dc.contributor.authorFournais, Søren*
hal.structure.identifier
dc.contributor.authorLewin, Mathieu
HAL ID: 1466
ORCID: 0000-0002-1755-0207		*
hal.structure.identifier
dc.contributor.authorSolovej, Jan Philip*
dc.date.accessioned2017-11-29T14:37:38Z
dc.date.available2017-11-29T14:37:38Z
dc.date.issued2018
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17107
dc.language.isoenen
dc.subjectfermions
dc.subjectphysique mathématique
dc.subject.ddc519en
dc.titleThe semi-classical limit of large fermionic systems
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe study a system of N fermions in the regime where the intensity of the interaction scales as 1/N and with an effective semi-classical parameter ℏ=N−1/d where d is the space dimension. For a large class of interaction potentials and of external electromagnetic fields, we prove the convergence to the Thomas-Fermi minimizers in the limit N→∞. The limit is expressed using many-particle coherent states and Wigner functions. The method of proof is based on a fermionic de Finetti-Hewitt-Savage theorem in phase space and on a careful analysis of the possible lack of compactness at infinity.
dc.relation.isversionofjnlnameCalculus of Variations and Partial Differential Equations
dc.relation.isversionofjnlvol57
dc.relation.isversionofjnlissue4
dc.relation.isversionofjnldate2018
dc.relation.isversionofjnlpagesn°105
dc.relation.isversionofdoi10.1007/s00526-018-1374-2
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01211494
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.date.updated2017-12-20T14:57:25Z
hal.author.functionaut
hal.author.functionaut
hal.author.functionaut


Files in this item

FilesSizeFormatView

There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record