Notes on Lieb-Thirring type inequality for a complex perturbation of fractional Schrödinger operator

Abstract

For $s\textgreater{}0$, let $H\_0=(-\Delta {)}^s$ be the fractional Laplacian. In this paper, we obtainLieb-Thirring type inequalities for the fractional Schrödinger operator defined as $H=H\_0+V$,where $V\in L^p({\mathbb{R}}^d),p\ge 1,d\ge 1,$ is a complex-valued potential.Our methods are based on results of articles by Borichev-Golinskii-Kupin \cite{BoGoKu} and Hansmann \cite{Ha1}.

17 pages, 1 figure

References in corpus (2)

• Lieb-Thirring inequalities for Schrödinger operators with complex-valued potentials
• Variation of discrete spectra for non-selfadjoint perturbations of selfadjoint operators

Cited by in corpus (1)

• On zeros of analytic functions satisfying non-radial growth conditions