Positivity and lower bounds to the decay of the atomic one-electron density
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
We investigate properties of the spherically averaged atomic one-electron density rho~(r). For a rho~ which stems from a physical ground state we prove that rho~ > 0. We also give exponentially decreasing lower bounds to rho~ in the case when the eigenvalue is below the corresponding essential spectrum.
Keywords
Cite
@article{arxiv.math-ph/0608022,
title = {Positivity and lower bounds to the decay of the atomic one-electron density},
author = {Søren Fournais and Maria Hoffmann-Ostenhof and Thomas Hoffmann-Ostenhof and Thomas Østergaard Sørensen},
journal= {arXiv preprint arXiv:math-ph/0608022},
year = {2007}
}
Comments
20 pages