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hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorGOLENIA, Sylvain
hal.structure.identifierÉcole normale supérieure - Cachan, antenne de Bretagne [ENS Cachan Bretagne]
dc.contributor.authorHAUGOMAT, Tristan
dc.date.accessioned2024-04-04T02:19:51Z
dc.date.available2024-04-04T02:19:51Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189441
dc.description.abstractEnIn this paper, under some integrability condition, we prove that an electrical perturbation of the discrete Dirac operator has purely absolutely continuous spectrum for the one dimensional case. We reduce the problem to a non-self-adjoint Laplacian-like operator by using a spin up/down decomposition and rely on a transfermatrices technique.
dc.language.isoen
dc.title.enOn the a.c. spectrum of 1D discrete Dirac operator
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
dc.subject.halMathématiques [math]/Théorie spectrale [math.SP]
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.identifier.arxiv1207.3516
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-00717811
hal.version1
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00717811v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=GOLENIA,%20Sylvain&HAUGOMAT,%20Tristan&rft.genre=preprint


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