A sharp Lieb-Thirring inequality for functional difference operators

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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Bibliographic Details
Main Authors: Ari Laptev, Lukas Schimmer
Format: Default Article
Published: 2021
Subjects:
Applied mathematics
Mathematical physics
Pure mathematics
Lieb-Thirring inequality
functional difference operator
semigroup property
Science & Technology
Physical Sciences
Physics, Mathematical
Physics
Online Access:https://hdl.handle.net/2134/24591990.v1
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https://hdl.handle.net/2134/24591990.v1

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