Nonlinear instability of density-independent orbital-free kinetic energy functionals
Materials Science
2009-11-10 v1
Abstract
We study in this article the mathematical properties of a class of orbital-free kinetic energy functionals. We prove that these models are linearly stable but nonlinearly unstable, in the sense that the corresponding kinetic energy functionals are not bounded from below. As a matter of illustration, we provide an example of an electronic density of simple shape the kinetic energy of which is negative.
Keywords
Cite
@article{arxiv.cond-mat/0409081,
title = {Nonlinear instability of density-independent orbital-free kinetic energy functionals},
author = {X. Blanc and E. Cances},
journal= {arXiv preprint arXiv:cond-mat/0409081},
year = {2009}
}
Comments
14 pages, 1 figure