Sharp Lieb-Thirring Inequalities in High Dimensions
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🧮 math-ph
math.MPmath.SP
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gammainequalitieslieb-thirringsharpactaappeararbitrarybuslaev-faddeev-zakharov
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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 $L^{cl}_{\gamma,d}$ with $\gamma\ge 3/2$ and arbitrary $d\ge 1$. (revised, to appear in Acta Math)
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