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arXiv · 1506.07193

Eigenvalue bounds for Dirac and fractional Schrödinger operators with complex potentials

Jean-Claude Cuenin
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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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Jean-Claude Cuenin. 2020-06-01. Eigenvalue bounds for Dirac and fractional Schrödinger operators with complex potentials. https://arxiv.org/abs/1506.07193

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