Eigenvalue bounds for Dirac and fractional Schrödinger operators with complex potentials

Published 23 Jun 2015 in math.SP, math-ph, math.AP, and math.MP | (1506.07193v2)

Abstract: We prove Lieb-Thirring-type bounds for fractional Schr\"odinger 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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Authors (1)

Jean-Claude Cuenin

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