Sharp Lieb-Thirring Inequalities in High Dimensions
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 Lclγ,d with γ 3/2 and arbitrary d 1. (revised, to appear in Acta Math)
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