Show simple item record

dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
dc.contributor.authorEsteban, Maria J.
HAL ID: 738381
ORCID: 0000-0003-1700-9338
dc.contributor.authorSéré, Eric
HAL ID: 171149
dc.date.accessioned2009-06-30T09:30:50Z
dc.date.available2009-06-30T09:30:50Z
dc.date.issued2006
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/541
dc.language.isoenen
dc.subjectDirac operatoren
dc.subjecteigenvaluesen
dc.subjectgap of the essential spectrumen
dc.subjectbound statesen
dc.subject.ddc519en
dc.titleGeneral results on the eigenvalues of operators with gaps, arising from both ends of the gaps. Application to Dirac operators.en
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis paper is concerned with an extension and reinterpretation of previous results on the variational characterization of eigenvalues in gaps of the essential spectrum of self-adjoint operators. We state two general abstract results on the existence of eigenvalues in the gap and a continuation principle. Then, these results are applied to Dirac operators in order to characterize simultaneously eigenvalues corresponding to electronic and positronic bound states.en
dc.relation.isversionofjnlnameJournal of the European Mathematical Society
dc.relation.isversionofjnlvol8en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2006
dc.relation.isversionofjnlpages243-251en
dc.relation.isversionofdoihttp://dx.doi.org/10.4171/JEMS/50
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00012837/en/en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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