Lieb-Thirring estimates for non self-adjoint Schrödinger operators
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | BRUNEAU, Vincent | |
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | OUHABAZ, E.-M. | |
| dc.date.accessioned | 2024-04-04T02:52:22Z | |
| dc.date.available | 2024-04-04T02:52:22Z | |
| dc.date.issued | 2008 | |
| dc.identifier.issn | 0022-2488 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/192061 | |
| dc.description.abstractEn | For general non-symmetric operators $A$, we prove that the moment of order $\gamma \ge 1$ of negative real-parts of its eigenvalues is bounded by the moment of order $\gamma$ of negative eigenvalues of its symmetric part $H = \frac{1}{2} [A + A^*].$ As an application, we obtain Lieb-Thirring estimates for non self-adjoint Schrödinger operators. In particular, we recover recent results by Frank, Laptev, Lieb and Seiringer \cite{FLLS}. We also discuss moment of resonances of Schrödinger self-adjoint operators. | |
| dc.language.iso | en | |
| dc.publisher | American Institute of Physics (AIP) | |
| dc.title.en | Lieb-Thirring estimates for non self-adjoint Schrödinger operators | |
| dc.type | Article de revue | |
| dc.identifier.doi | 10.1063/1.2969028 | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.identifier.arxiv | 0806.1393 | |
| bordeaux.journal | Journal of Mathematical Physics | |
| bordeaux.page | 093504 | |
| bordeaux.volume | 49 | |
| 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-00286274 | |
| hal.version | 1 | |
| hal.popular | non | |
| hal.audience | Internationale | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00286274v1 | |
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