Sharp upper bounds for the density of relativistic atoms: Noninteracting case
Mathematical Physics
2026-04-08 v1 Analysis of PDEs
math.MP
Spectral Theory
Abstract
We prove an optimal upper bound for the density of electrons of an infinite Bohr atom (no electron-electron interactions) described by the relativistic operators of Chandrasekhar and Dirac. We also consider densities in each angular momentum channel separately.
Cite
@article{arxiv.2604.04010,
title = {Sharp upper bounds for the density of relativistic atoms: Noninteracting case},
author = {Rupert L. Frank and Konstantin Merz},
journal= {arXiv preprint arXiv:2604.04010},
year = {2026}
}
Comments
29 pages. Dedicated to Barry Simon on the occasion of his 80th birthday