Lieb-Thirring type inequalities for non self-adjoint perturbations of magnetic Schrödinger operators
| hal.structure.identifier | Institut de Mathématiques de Bordeaux [IMB] | |
| dc.contributor.author | SAMBOU, Diomba | |
| dc.date.accessioned | 2024-04-04T02:20:48Z | |
| dc.date.available | 2024-04-04T02:20:48Z | |
| dc.date.created | 2013-01-22 | |
| dc.identifier.uri | https://oskar-bordeaux.fr/handle/20.500.12278/189520 | |
| dc.description.abstractEn | Let $H := H_{0} + V$ and $H_{\perp} := H_{0,\perp} + V$ be respectively perturbations of the free Schrödinger operators $H_{0}$ on $L^{2}\big(\mathbb{R}^{2d+1}\big)$ and $H_{0,\perp}$ on $L^{2}\big(\mathbb{R}^{2d}\big)$, $d \geq 1$ with constant magnetic field of strength $b>0$, and $V$ is a complex relatively compact perturbation. We prove Lieb-Thirring type inequalities for the discrete spectrum of $H$ and $H_{\perp}$. In particular, these estimates give $a\, priori$ information on the distribution of the discrete eigenvalues around the Landau levels of the operator, and describe how fast sequences of eigenvalues converge. | |
| dc.language.iso | en | |
| dc.subject.en | Magnetic Schrödinger operators | |
| dc.subject.en | Lieb-Thirring type inequalities | |
| dc.subject.en | non self-adjoint relatively compact perturbations. | |
| dc.subject.en | non self-adjoint relatively compact perturbations | |
| dc.title.en | Lieb-Thirring type inequalities for non self-adjoint perturbations of magnetic Schrödinger operators | |
| dc.type | Document de travail - Pré-publication | |
| dc.subject.hal | Mathématiques [math]/Physique mathématique [math-ph] | |
| dc.subject.hal | Mathématiques [math]/Théorie spectrale [math.SP] | |
| dc.identifier.arxiv | 1301.5169 | |
| bordeaux.hal.laboratories | Institut de Mathématiques de Bordeaux (IMB) - UMR 5251 | * |
| bordeaux.institution | Université de Bordeaux | |
| bordeaux.institution | Bordeaux INP | |
| bordeaux.institution | CNRS | |
| hal.identifier | hal-00779606 | |
| hal.version | 1 | |
| hal.audience | Non spécifiée | |
| hal.origin.link | https://hal.archives-ouvertes.fr//hal-00779606v1 | |
| bordeaux.COinS | ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=SAMBOU,%20Diomba&rft.genre=preprint |
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