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

Clément Dubuisson (1)

1 IMB - Institut de Mathématiques de Bordeaux

We prove Lieb-Thirring type inequalities for a complex perturbation of fractional Schrödinger operator using either Borichev-Golinskii-Kupin Theorem or a Theorem from \cite{Ha}.

Mots clés: Fractional Schrödinger operator; complex perturbation; discrete spectrum; Lieb-Thirring type inequality; conformal mapping

Domaines: Théorie spectrale [math.SP]

Clément Dubuisson. Notes on Lieb-Thirring type inequality for a complex perturbation of fractional Schrödinger operator.. 2014. ⟨hal-00959766v1⟩