On the existence of effective potentials in time-dependent density functional theory
Mathematical Physics
2009-11-11 v1 math.MP
Abstract
We investigate the existence and properties of effective potentials in time-dependent density functional theory. We outline conditions for a general solution of the corresponding Sturm-Liouville boundary value problems. We define the set of potentials and v-representable densities, give a proof of existence of the effective potentials under certain restrictions, and show the set of v-representable densities to be independent of the interaction.
Keywords
Cite
@article{arxiv.0911.1956,
title = {On the existence of effective potentials in time-dependent density functional theory},
author = {M. Ruggenthaler and M. Penz and D. Bauer},
journal= {arXiv preprint arXiv:0911.1956},
year = {2009}
}
Comments
13 pages