JournalsjemsVol. 23 , No. 8DOI 10.4171/jems/1062

The Lieb–Thirring inequality revisited

  • Rupert L. Frank

    Ludwig-Maximilians-Universität München, Germany; and 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
The Lieb–Thirring inequality revisited cover

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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.