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Eigenvalue bounds for Dirac and fractional Schrödinger operators with complex potentials (1506.07193v2)
Published 23 Jun 2015 in math.SP, math-ph, math.AP, and math.MP
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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