A simple approach to Lieb--Thirring type inequalities
Mathematical Physics
2023-09-19 v2 math.MP
Abstract
In \cite{Nam} Nam proved a Lieb--Thirring Inequality for the kinetic energy of a fermionic quantum system, with almost optimal (semi-classical) constant and a gradient correction term. We present a stronger version of this inequality, with a much simplified proof. As a corollary we obtain a simple proof of the original Lieb--Thirring inequality.
Cite
@article{arxiv.2303.04504,
title = {A simple approach to Lieb--Thirring type inequalities},
author = {Robert Seiringer and Jan Philip Solovej},
journal= {arXiv preprint arXiv:2303.04504},
year = {2023}
}
Comments
5 pages; minor corrections; published version