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Stationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equations

dc.contributor.authorEsteban, Maria J.
HAL ID: 738381
ORCID: 0000-0003-1700-9338
dc.contributor.authorGeorgiev, Vladimir
dc.contributor.authorSéré, Eric
HAL ID: 171149
dc.date.accessioned2011-05-30T15:24:08Z
dc.date.available2011-05-30T15:24:08Z
dc.date.issued1996
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6367
dc.language.isoenen
dc.subjectKlein-Gordon-Dirac systemen
dc.subjectsoliton-like solutionsen
dc.subjectMaxwell-Dirac systemen
dc.subject.ddc515en
dc.titleStationary solutions of the Maxwell-Dirac and the Klein-Gordon-Dirac equationsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThe Maxwell-Dirac system describes the interaction of an electron with its own electromagnetic field. We prove the existence of soliton-like solutions of Maxwell-Dirac in (3+1)-Minkowski space-time. The solutions obtained are regular, stationary in time, and localized in space. They are found by a variational method, as critical points of an energy functional. This functional is strongly indefinite and presents a lack of compactness. We also find soliton-like solutions for the Klein-Gordon-Dirac system, arising in the Yukawa model.en
dc.relation.isversionofjnlnameCalculus of Variations and Partial Differential Equations
dc.relation.isversionofjnlvol4en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate1996
dc.relation.isversionofjnlpages265-281en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/BF01254347en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen


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