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Published August 2021 | Submitted
Journal Article Open

The Lieb-Thirring inequality revisited

Abstract

We provide new estimates on the best constant of the Lieb–Thirring inequality for the sum of the negative eigenvalues of Schrödinger operators, which significantly improve the so far existing bounds.

Additional Information

© 2021 EMS Publishing House. Published online: 2021-04-07. We thank Sabine Boegli for helpful discussions. This work was partially supported by U.S. NSF grant DMS-1363432 (R.L.F.), the Alfried Krupp von Bohlen und Halbach Foundation, and the Deutsche Forschungsgemeinschaft (DFG) through CRC 1173 (D.H.).

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Created:
August 20, 2023
Modified:
October 23, 2023