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dc.contributor.authorMayorga-Zambrano, Juan
dc.contributor.authorFelmer, Patricio
dc.contributor.authorDolbeault, Jean
dc.date.accessioned2009-06-30T09:40:10Z
dc.date.available2009-06-30T09:40:10Z
dc.date.issued2008
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/544
dc.language.isoenen
dc.subjectCompact self-adjoint operators; Trace-class operators; mixed states; occupation numbers; Lieb-Thirring inequality; Gagliardo-Nirenberg inequality; logarithmic Sobolev inequality; optimal constants; orthonormal and sub-orthonormal systems; Schrödinger operator; asymptotic distribution of eigenvalues; free energy; embeddings; compactness resultsen
dc.subject.ddc519en
dc.titleCompactness properties for trace-class operators and applications to quantum mechanicsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversidad de Chile;Chili
dc.description.abstractenInterpolation inequalities of Gagliardo-Nirenberg type and compactness results for self-adjoint trace-class operators with finite kinetic energy are established. Applying these results to the minimization of various free energy functionals, we determine for instance stationary states of the Hartree problem with temperature corresponding to various statistics.en
dc.relation.isversionofjnlnameMonatshefte für Mathematik
dc.relation.isversionofjnlvol155en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2008
dc.relation.isversionofjnlpages43-66en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00605-008-0533-5
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00088819/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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