A simple proof of Hardy-Lieb-Thirring inequalities

Details A simple proof of Hardy-Lieb-Thirring inequalities A simple proof of Hardy-Lieb-Thirring inequalities

2008-09-22

arxiv.org/abs/0809.3797v1

Comm. Math. Phys. 290 (2009), no. 2, 789 - 800

Physics

Mathematical Physics

12 pages

Scientific paper

10.1007/s00220-009-0759-7

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).

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