Lieb-Thirring inequalities for wave functions vanishing on the diagonal set

preprint2020arXivOpen access

Abstract

We propose a general strategy to derive Lieb-Thirring inequalities for scale-covariant quantum many-body systems. As an application, we obtain a generalization of the Lieb-Thirring inequality to wave functions vanishing on the diagonal set of the configuration space, without any statistical assumption on the particles.

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