A Sharp Lieb-Thirring Inequality for Functional Difference Operators
Functional Analysis
2021-12-07 v3 Mathematical Physics
math.MP
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.
Cite
@article{arxiv.2109.05465,
title = {A Sharp Lieb-Thirring Inequality for Functional Difference Operators},
author = {Ari Laptev and Lukas Schimmer},
journal= {arXiv preprint arXiv:2109.05465},
year = {2021}
}