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

@article{Larson2021LiebThirringIF, title={Lieb–Thirring inequalities for wave functions vanishing on the diagonal set}, author={Simon Larson and Douglas Lundholm and Phan Th{\`a}nh Nam}, journal={Annales Henri Lebesgue}, year={2021} }

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.

## 8 Citations

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We consider a 3D quantum system of [Formula: see text] identical bosons in a trapping potential [Formula: see text], with [Formula: see text], interacting via a Newton potential with an attractive…

### The Lieb–Thirring Inequality for Interacting Systems in Strong-Coupling Limit

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