test_moissonnage_selune
type: Agent

Lieb-Thirring type inequalities for non self-adjoint perturbations of magnetic Schrödinger operators
type: Distribution
access URL: https://hal.science/hal-00779606
format: HTML
issued: 2026-05-07T22:04:22.906168
modified: 2026-05-07T22:04:22.890433

Lieb-Thirring type inequalities for non self-adjoint perturbations of magnetic Schrödinger operators
type: Dataset
contact point: Organization
  fn: CCSD
keyword: infoeu-reposemanticspreprint
keyword: 35p20-47a75-47a55
keyword: preprints-working-papers-
keyword: lieb-thirring-type-inequalities
keyword: mathmath-spmathematics-mathspectral-theory-mathsp
keyword: mathmath-mpmathematics-mathmathematical-physics-math-ph
keyword: non-self-adjoint-relatively-compact-perturbations
keyword: magnetic-schrodinger-operators
landing page: https://hal.science/hal-00779606
description: 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.
issued: 2026-05-07T22:04:22.901684
language: en
modified: 2026-05-07T22:04:22.901690