The Lieb-Thirring inequality revisited
Rupert L. Frank, Dirk Hundertmark, Michal Jex, Phan Th\`anh Nam
TL;DR
This paper improves the bounds on the best constant in the Lieb-Thirring inequality, which estimates the sum of negative eigenvalues of Schrödinger operators, advancing mathematical understanding of spectral bounds.
Contribution
The authors present new estimates that significantly tighten the bounds on the Lieb-Thirring inequality's best constant, enhancing previous results.
Findings
New sharper bounds on the Lieb-Thirring inequality constant
Improved estimates for the sum of negative eigenvalues
Advancement in spectral analysis of Schrödinger operators
Abstract
We provide new estimates on the best constant of the Lieb-Thirring inequality for the sum of the negative eigenvalues of Schr\"odinger operators, which significantly improve the so far existing bounds.
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