Show simple item record

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorLewin, Mathieu
HAL ID: 1466
ORCID: 0000-0002-1755-0207
*
hal.structure.identifierDepartment of Biological Sciences, Aarhus University
dc.contributor.authorMadsen, Peter*
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorTriay, Arnaud*
dc.date.accessioned2019-03-25T12:33:37Z
dc.date.available2019-03-25T12:33:37Z
dc.date.issued2019
dc.identifier.issn0022-2488
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18559
dc.language.isoenen
dc.subjectThomas-Fermi model
dc.subjectpositive temperature
dc.subjectOperator theory
dc.subjectPhysics of gases
dc.subjectGibbs states
dc.subjectQuantum mechanical entropy
dc.subjectStatistical thermodynamics
dc.subjectCoherent states
dc.subjectSlater determinant
dc.subjectCalculus of variations
dc.subject.ddc520en
dc.titleSemi-classical limit of large fermionic systems at positive temperature
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe study a system of N interacting fermions at positive temperature in a confining potential. 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, we prove the convergence to the corresponding Thomas-Fermi model at positive temperature .
dc.publisher.cityParisen
dc.relation.isversionofjnlnameJournal of Mathematical Physics
dc.relation.isversionofjnlvol60
dc.relation.isversionofjnlissue9
dc.relation.isversionofjnldate2019
dc.relation.isversionofjnlpages34
dc.relation.isversionofdoi10.1063/1.5094397
dc.relation.isversionofjnlpublisherAmerican Institute of Physics
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2020-04-27T09:33:21Z
hal.author.functionaut
hal.author.functionaut
hal.author.functionaut


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record