Improved Lieb-Thirring type inequalities for non-selfadjoint Schr\"odinger operators

Sabine Bögli

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arXiv · 2111.03938

Improved Lieb-Thirring type inequalities for non-selfadjoint Schr\"odinger operators

Sabine Bögli

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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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BibTeX RIS

Sabine Bögli. 2021-11-06. Improved Lieb-Thirring type inequalities for non-selfadjoint Schr\"odinger operators. https://arxiv.org/abs/2111.03938

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