Volume 4 (2021)
Larson, Simon;  Lundholm, Douglas;  Nam, Phan Thành
Lieb–Thirring inequalities for wave functions vanishing on the diagonal set
Annales Henri Lebesgue, Volume 4 (2021), pp. 251-282.

Metadata

DOI10.5802/ahl.72
Keywords Lieb–Thirring inequalities, uncertainty principle, exclusion principle, Poincaré inequality

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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