Lieb-Thirring inequalities for wave functions vanishing on the diagonal set
Mathematical Physics
2020-05-12 v2 Functional Analysis
math.MP
Spectral Theory
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.
Keywords
Cite
@article{arxiv.1901.04963,
title = {Lieb-Thirring inequalities for wave functions vanishing on the diagonal set},
author = {Simon Larson and Douglas Lundholm and Phan Thành Nam},
journal= {arXiv preprint arXiv:1901.04963},
year = {2020}
}
Comments
Final version accepted for publication in Annales Henri Lebesgue. 29 pages