Relativistic Strong Scott Conjecture: A Short Proof
Mathematical Physics
2023-03-07 v1 math.MP
Abstract
We consider heavy neutral atoms of atomic number modeled with kinetic energy used already by Chandrasekhar. We study the behavior of the one-particle ground state density on the length scale in the limit keeping fixed. We give a short proof of a recent result by the authors and Barry Simon showing the convergence of the density to the relativistic hydrogenic density on this scale.
Cite
@article{arxiv.2009.02474,
title = {Relativistic Strong Scott Conjecture: A Short Proof},
author = {Rupert L. Frank and Konstantin Merz and Heinz Siedentop},
journal= {arXiv preprint arXiv:2009.02474},
year = {2023}
}