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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorFAUPIN, Jérémy
hal.structure.identifierAarhus University [Aarhus]
dc.contributor.authorMØLLER, Jacob
hal.structure.identifierAarhus University [Aarhus]
dc.contributor.authorSKIBSTED, Erik
dc.date.accessioned2024-04-04T03:15:15Z
dc.date.available2024-04-04T03:15:15Z
dc.date.issued2011
dc.identifier.issn0010-3616
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/194135
dc.description.abstractEnWe study second order perturbation theory for embedded eigenvalues of an abstract class of self-adjoint operators. Using an extension of the Mourre theory, under assumptions on the regularity of bound states with respect to a conjugate operator, we prove upper semicontinuity of the point spectrum and establish the Fermi Golden Rule criterion. Our results apply to massless Pauli-Fierz Hamiltonians for arbitrary coupling.
dc.language.isoen
dc.publisherSpringer Verlag
dc.title.enSecond order perturbation theory for embedded eigenvalues
dc.typeArticle de revue
dc.identifier.doi10.1007/s00220-011-1278-x
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
dc.identifier.arxiv1006.5869
bordeaux.journalCommunications in Mathematical Physics
bordeaux.page193-228
bordeaux.volume306
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-01279964
hal.version1
hal.popularnon
hal.audienceInternationale
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-01279964v1
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