A simple proof of Hardy-Lieb-Thirring inequalities

Abstract

We give a short and unified proof of Hardy-Lieb-Thirring inequalities for moments of eigenvalues of fractional Schroedinger operators. The proof covers the optimal parameter range. It is based on a recent inequality by Solovej, Soerensen, and Spitzer. Moreover, we prove that any non-magnetic Lieb-Thirring inequality implies a magnetic Lieb-Thirring inequality (with possibly a larger constant).

12 pages

References in corpus (2)

• Spectral estimates for two-dimensional Schroedinger operators with application to quantum layers
• The relativistic Scott correction for atoms and molecules

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