A simple proof of Hardy-Lieb-Thirring inequalities
Mathematical Physics
2011-09-05 v1 math.MP
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).
Keywords
Cite
@article{arxiv.0809.3797,
title = {A simple proof of Hardy-Lieb-Thirring inequalities},
author = {Rupert L. Frank},
journal= {arXiv preprint arXiv:0809.3797},
year = {2011}
}
Comments
12 pages