Pointwise estimates on derivatives of Coulombic wave functions and their electron densities
Analysis of PDEs
2018-03-12 v1 Mathematical Physics
math.MP
Abstract
We prove a priori bounds for all derivatives of non-relativistic Coulombic eigenfunctions, involving negative powers of the distance to the singularities of the many-body potential. We use these to derive bounds for all derivatives of the corresponding one-electron densities, involving negative powers of the distance from the nuclei. The results are both natural and optimal, as seen from the ground state of Hydrogen.
Keywords
Cite
@article{arxiv.1803.03495,
title = {Pointwise estimates on derivatives of Coulombic wave functions and their electron densities},
author = {Søren Fournais and Thomas Østergaard Sørensen},
journal= {arXiv preprint arXiv:1803.03495},
year = {2018}
}
Comments
46 pp