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arXiv · 2109.05465

A Sharp Lieb-Thirring Inequality for Functional Difference Operators

Ari Laptev·Lukas Schimmer
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Abstract

We prove sharp Lieb-Thirring type inequalities for the eigenvalues of a class of one-dimensional functional difference operators associated to mirror curves. We furthermore prove that the bottom of the essential spectrum of these operators is a resonance state.

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Ari Laptev, Lukas Schimmer. 2021-09-12. A Sharp Lieb-Thirring Inequality for Functional Difference Operators. https://doi.org/10.3842/sigma.2021.105

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