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

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

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.