Sharp Lieb-Thirring Inequalities in High Dimensions
Mathematical Physics
2007-05-23 v2 math.MP
Spectral Theory
Abstract
We show how a matrix version of the Buslaev-Faddeev-Zakharov trace formulae for a one-dimensional Schr\"odinger operator leads to Lieb-Thirring inequalities with sharp constants with and arbitrary . (revised, to appear in Acta Math)
Keywords
Cite
@article{arxiv.math-ph/9903007,
title = {Sharp Lieb-Thirring Inequalities in High Dimensions},
author = {A. Laptev and T. Weidl},
journal= {arXiv preprint arXiv:math-ph/9903007},
year = {2007}
}