Lieb-Thirring inequality with semiclassical constant and gradient error term
Mathematical Physics
2018-05-22 v2 math.MP
Spectral Theory
Abstract
In 1975, Lieb and Thirring derived a semiclassical lower bound on the kinetic energy for fermions, which agrees with the Thomas-Fermi approximation up to a constant factor. Whenever the optimal constant in their bound coincides with the semiclassical one is a long-standing open question. We prove an improved bound with the semiclassical constant and a gradient error term which is of lower order.
Cite
@article{arxiv.1704.07188,
title = {Lieb-Thirring inequality with semiclassical constant and gradient error term},
author = {Phan Thành Nam},
journal= {arXiv preprint arXiv:1704.07188},
year = {2018}
}
Comments
6 pages, comments and references added