A Sharp Lieb-Thirring Inequality for Functional Difference Operators

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.

References in corpus (2)

• Matrix models from operators and topological strings, 2
• Operators from mirror curves and the quantum dilogarithm