JournalsjstVol. 13, No. 3pp. 1111–1127

Magnetic Lieb–Thirring inequalities on the torus

  • Alexei Ilyin

    Institute for Information Transmission Problems, Moscow, Russia; Keldysh Institute of Applied Mathematics

  • Ari Laptev

    Imperial College London, UK; Sirius University of Science and Technology, Sirius, Krasnodar region, Russia
Magnetic Lieb–Thirring inequalities on the torus cover
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Abstract

In this paper we prove Lieb–Thirring inequalities for magnetic Schrödinger operators on the torus, where the constants in the inequalities depend on the magnetic flux.

Cite this article

Alexei Ilyin, Ari Laptev, Magnetic Lieb–Thirring inequalities on the torus. J. Spectr. Theory 13 (2023), no. 3, pp. 1111–1127

DOI 10.4171/JST/470