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Binding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 3 : Binding of neutral subsystems

hal.structure.identifier
dc.contributor.authorCatto, Isabelle
HAL ID: 742722
ORCID: 0000-0002-5463-2340
hal.structure.identifier
dc.contributor.authorLions, Pierre-Louis
dc.date.accessioned2018-01-12T13:17:41Z
dc.date.available2018-01-12T13:17:41Z
dc.date.issued1993
dc.identifier.issn0360-5302
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/17299
dc.language.isoenen
dc.subjectmolecular systemsen
dc.subject.ddc515en
dc.titleBinding of atoms and stability of molecules in Hartree and Thomas-Fermi type theories. Part 3 : Binding of neutral subsystemsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis paper is the third of a series devoted to the study of the binding of atoms, molecules and ions and of the stability of general molecular systems including molecular ions, in the context of Hartree and Thomas-Fermi type theories. For Thomas-Fermi-von WeizsÖcker or Thomas-Fermi-Dirac-von Weizsäcker models, we prove here that neutral systems can be bound and in view of the results shown in the preceding parts this yields the stability of arbitrary molecules (general neutral molecular systems). For the Hartree and Hartree-Fock models, we prove that neutral planar systems can be bound and this yields the stability of arbitrary tetraatomic molecules for instance. Various variants and extensions are also considered.en
dc.relation.isversionofjnlnameCommunications in Partial Differential Equations
dc.relation.isversionofjnlvol18en
dc.relation.isversionofjnlissue3-4en
dc.relation.isversionofjnldate1993
dc.relation.isversionofjnlpages381-429en
dc.relation.isversionofdoi10.1080/03605309308820935en
dc.relation.isversionofjnlpublisherTaylor & Francisen
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2017-12-22T14:36:39Z
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