Statistical Theory of the Atom in Momentum Space
Mathematical Physics
2013-11-18 v2 math.MP
Abstract
We investigate a semiclassical momentum density energy functional for atoms and show that it yields the same value as the well-known Thomas-Fermi functional. In fact, we show an explicit relation between the minimizers of the two functionals. The main result is that the atomic momentum density converges on the scale to the minimizer of the momentum density energy functional. This allows to determine the linear response of atoms on momentum dependent perturbations.
Keywords
Cite
@article{arxiv.1108.1944,
title = {Statistical Theory of the Atom in Momentum Space},
author = {Verena von Conta and Heinz Siedentop},
journal= {arXiv preprint arXiv:1108.1944},
year = {2013}
}