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Weighted Mourre's commutator theory, application to Schrödinger operators with oscillating potential

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorGOLENIA, Sylvain
hal.structure.identifierAnalyse, Géométrie et Modélisation [AGM - UMR 8088]
dc.contributor.authorJECKO, Thierry
dc.date.accessioned2024-04-04T02:25:03Z
dc.date.available2024-04-04T02:25:03Z
dc.date.created2013-12-31
dc.date.issued2013
dc.identifier.issn0379-4024
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/189857
dc.description.abstractEnWe present a variant of Mourre's commutator theory. We apply it to prove the limiting absorption principle for Schrödinger operators with a perturbed Wigner-Von Neumann potential at suitable energies. To our knowledge, this result is new since we allow a long range pertubation of the Wigner-Von Neumann potential. Furthermore, we can show that the usual Mourre theory, based on differential inequalities and on the generator of dilations, cannot apply to our Schrödinger operators.
dc.language.isoen
dc.publisherTheta Foundation
dc.title.enWeighted Mourre's commutator theory, application to Schrödinger operators with oscillating potential
dc.typeArticle de revue
dc.identifier.doi10.7900/jot.2011may06.1922
dc.subject.halMathématiques [math]/Théorie spectrale [math.SP]
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Analyse fonctionnelle [math.FA]
dc.identifier.arxiv1012.0705
bordeaux.journalJournal of Operator Theory
bordeaux.pageJ. Operator Theory 70 (2013), no. 1, 109-144
bordeaux.volume1
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
bordeaux.peerReviewedoui
hal.identifierhal-00542694
hal.version1
hal.popularnon
hal.audienceNon spécifiée
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-00542694v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Journal%20of%20Operator%20Theory&rft.date=2013&rft.volume=1&rft.spage=J.%20Operator%20Theory%2070%20(2013),%20no.%201,%20109-144&rft.epage=J.%20Operator%20Theory%2070%20(2013),%20no.%201,%20109-144&rft.eissn=0379-4024&rft.issn=0379-4024&rft.au=GOLENIA,%20Sylvain&JECKO,%20Thierry&rft.genre=article


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