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Improved Lieb-Thirring type inequalities for non-selfadjoint Schrödinger operators (2111.03938v1)
Published 6 Nov 2021 in math.SP, math-ph, math.AP, and math.MP
Abstract: We improve the Lieb-Thirring type inequalities by Demuth, Hansmann and Katriel (J. Funct. Anal. 2009) for Schr\"odinger operators with complex-valued potentials. Our result involves a positive, integrable function. We show that in the one-dimensional case the result is sharp in the sense that if we take a non-integrable function, then an analogous inequality cannot hold.
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