Lieb-Thirring Inequalities

2000/03/27 by Elliott H. Lieb
Physics and Astronomy · Mathematics · #math-ph #math.MP

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published as Kluwer Encyclopedia of Mathematics, Supplement vol.II, p. 311-313 (2000) · Encyclopedia article, 3 pages

arxiv created 2000/03/27 · arxiv updated 2009/11/30

Abstract

This is a brief review of Lieb-Thirring inequalities for eigenvalues of the Schroedinger operator and lower bounds for the quantum mechanical kinetic energy (and some generalizations) in Rⁿ.

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• The state of the Lieb--Thirring conjecture
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• Lieb-Thirring inequalities with improved constants