Lieb-Thirring estimates for non self-adjoint Schrödinger operators

Simple item page
dc.creatorBruneau, Vincent
dc.creatorOuhabaz, E. -M.
dc.date2008-06-09
dc.date.accessioned2026-07-07T12:19:24Z
dc.date.available2026-07-07T12:19:24Z
dc.descriptionFor general non-symmetric operators $A$, we prove that the moment of order $γ\ge 1$ of negative real-parts of its eigenvalues is bounded by the moment of order $γ$ of negative eigenvalues of its symmetric part $H = {1/2} [A + A^*].$ 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.identifierhttps://arxiv.org/abs/0806.1393
dc.identifierhttp://arxiv.org/abs/0806.1393
dc.identifierJournal of Mathematical Physics 49 (2008) 093504
dc.identifierdoi:10.1063/1.2969028
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/212739
dc.subjectSpectral Theory
dc.subjectMathematical Physics
dc.titleLieb-Thirring estimates for non self-adjoint Schrödinger operators
dc.typetext

Files

Collections

arXiv