On the density-potential mapping in time-dependent density functional theory
Materials Science
2015-05-14 v3
Abstract
The key questions of uniqueness and existence in time-dependent density functional theory are usually formulated only for potentials and densities that are analytic in time. Simple examples, standard in quantum mechanics, lead however to non-analyticities. We reformulate these questions in terms of a non-linear Schr\"odinger equation with a potential that depends non-locally on the wavefunction.
Cite
@article{arxiv.0912.0320,
title = {On the density-potential mapping in time-dependent density functional theory},
author = {Neepa T. Maitra and Tchavdar N. Todorov and Chris Woodward and Kieron Burke},
journal= {arXiv preprint arXiv:0912.0320},
year = {2015}
}
Comments
8 pages, 2 figures