The Lieb–Thirring inequality revisited

Rupert L. Frank; Dirk Hundertmark; Michal Jex; Phan Thành Nam

doi:10.4171/jems/1062

JournalsjemsVol. 23, No. 8pp. 2583–2600

The Lieb–Thirring inequality revisited

Rupert L. Frank
Ludwig-Maximilians-Universität München, Germany; Caltech, Pasadena, USA
Dirk Hundertmark
Karlsruhe Institute of Technology, Germany and University of Illinois at Urbana-Champaign, USA
- MathSciNet
- zbMATH Open
Michal Jex
Karlsruhe Institute of Technology, Germany and Czech Technical University, Prague, Czech Republic
Phan Thành Nam
Ludwig-Maximilians-Universität München, Germany
- MathSciNet
- zbMATH Open

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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.

Cite this article

Rupert L. Frank, Dirk Hundertmark, Michal Jex, Phan Thành Nam, The Lieb–Thirring inequality revisited. J. Eur. Math. Soc. 23 (2021), no. 8, pp. 2583–2600

DOI 10.4171/JEMS/1062