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

  • Michal Jex

    Karlsruhe Institute of Technology, Germany and Czech Technical University, Prague, Czech Republic

  • Phan Thành Nam

    Ludwig-Maximilians-Universität München, Germany
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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