Eigenvalue bounds for Dirac and fractional Schrödinger operators with complex potentials

preprint2020arXivOpen access

Abstract

We prove Lieb-Thirring-type bounds for fractional Schrödinger operators and Dirac operators with complex-valued potentials. The main new ingredient is a resolvent bound in Schatten spaces for the unperturbed operator, in the spirit of Frank and Sabin.

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