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math-ph2021★ 4 cited
Calogero type bounds in two dimensions
Ari Laptev, Larry Read, Lukas Schimmer
For a Schrödinger operator on the plane with electric potential and Aharonov--Bohm magnetic field we obtain an upper bound on the number of its negative eigenval…
math.FA2021★ 1 cited
A Sharp Lieb-Thirring Inequality for Functional Difference Operators
Ari Laptev, Lukas Schimmer
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 t…