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Critical magnetic field for 2d magnetic Dirac-Coulomb operators and Hardy inequalities

hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorEsteban, Maria J.
HAL ID: 738381
ORCID: 0000-0003-1700-9338
hal.structure.identifierSchool of Mathematics - Georgia Institute of Technology
dc.contributor.authorLoss, Michael
dc.date.accessioned2021-10-29T13:00:35Z
dc.date.available2021-10-29T13:00:35Z
dc.date.issued2021
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/22122
dc.language.isoenen
dc.subjectAharonov-Bohm magnetic potentialen
dc.subjectmagnetic Dirac operatoren
dc.subjectCoulomb potentialen
dc.subjectcritical magnetic fielden
dc.subjectself-adjoint operatorsen
dc.subjecteigenvaluesen
dc.subjectground state energyen
dc.subjectHardy inequalityen
dc.subjectWirtinger derivativesen
dc.subjectPauli operator Mathematics Subject Classification 2020 Primary 81Q10en
dc.subjectSecondary 46N50en
dc.subject81Q05en
dc.subject47A75en
dc.subject.ddc515en
dc.titleCritical magnetic field for 2d magnetic Dirac-Coulomb operators and Hardy inequalitiesen
dc.typeChapitre d'ouvrage
dc.description.abstractenThis paper is devoted to the study of the two-dimensional Dirac–Coulomb operator in presence of an Aharonov–Bohm external magnetic potential. We characterize the highest intensity of the magnetic field for which a two-dimensional magnetic Hardy inequality holds. Up to this critical magnetic field, the operator admits a distinguished self-adjoint extension and there is a notion of ground state energy, defined as the lowest eigenvalue in the gap of the continuous spectrum.en
dc.identifier.citationpages41-63en
dc.relation.ispartoftitlePartial Differential Equations, Spectral Theory, and Mathematical Physics .The Ari Laptev Anniversary Volumeen
dc.relation.ispartofeditorPavel Exner, Rupert L. Frank, Fritz Gesztesy, Helge Holden, Timo Weidl
dc.relation.ispartofpublnameEuropean Mathematical Societyen
dc.relation.ispartofpublcityZürichen
dc.relation.ispartofdate2021
dc.relation.ispartofpages494en
dc.relation.ispartofurl10.4171/ECR/18en
dc.subject.ddclabelAnalyseen
dc.relation.ispartofisbn978-3-98547-007-5en
dc.relation.forthcomingnonen
dc.identifier.doi10.4171/ECR/18-1/4en
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2021-10-29T12:55:32Z
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