Weighted Mourre's commutator theory, application to Schrödinger operators with oscillating potential
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | GOLENIA, Sylvain | |
| hal.structure.identifier | Analyse, Géométrie et Modélisation [AGM - UMR 8088] | |
| dc.contributor.author | JECKO, Thierry | |
| dc.date.accessioned | 2024-04-04T02:25:03Z | |
| dc.date.available | 2024-04-04T02:25:03Z | |
| dc.date.created | 2013-12-31 | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 0379-4024 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189857 | |
| dc.description.abstractEn | We 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.iso | en | |
| dc.publisher | Theta Foundation | |
| dc.title.en | Weighted Mourre's commutator theory, application to Schrödinger operators with oscillating potential | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.7900/jot.2011may06.1922 | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.subject.hal | Mathématiques [math]/Equations aux dérivées partielles [math.AP] | |
| dc.subject.hal | Mathématiques [math]/Analyse fonctionnelle [math.FA] | |
| dc.identifier.arxiv | 1012.0705 | |
| bordeaux.journal | Journal of Operator Theory | |
| bordeaux.page | J. Operator Theory 70 (2013), no. 1, 109-144 | |
| bordeaux.volume | 1 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| bordeaux.peerReviewed | oui | |
| hal.identifier | hal-00542694 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00542694v1 | |
| bordeaux.COinS | ctx_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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