Larry Read

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20232026

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math.SP2026

The sharp one-dimensional Lieb-Thirring inequality for the sum of eigenvalues

Larry Read

We prove that the best constant in the one-dimensional Lieb-Thirring inequality with exponent one is $4/ (33 π)$ , confirming the Lieb-Thirring conjecture in this case.

math.SP2024

On the asymptotic number of low-lying states in the two-dimensional confined Stark effect

Larry Read

We investigate the Stark operator restricted to a bounded domain $Ω \subset R^{2}$ with Dirichlet boundary conditions. In the semiclassical limit, a three-term asymptotic expa…

math.SP2023

Negative spectrum of Schrödinger Operators with Rapidly Oscillating Potentials

Larry Read

For Schrödinger operators with potentials that are asymptotically homogeneous of degree $- 2$ , the size of the coupling determines whether it has finite or infinitely many negative…