Foundations of stochastic time-dependent current-density functional theory for open quantum systems: Potential pitfalls and rigorous results
Materials Science
2013-05-20 v2 Mesoscale and Nanoscale Physics
Mathematical Physics
math.MP
Abstract
We clarify some misunderstandings on the time-dependent current density functional theory for open quantum systems we have recently introduced [M. Di Ventra and R. D'Agosta, Phys. Rev. Lett. {\bf 98}, 226403 (2007)]. We also show that some of the recent formulations attempting to improve on this theory suffer from some inconsistencies, especially in establishing the mapping between the external potential and the quantities of interest. We offer a general argument about this mapping, showing that it must fulfill certain "dimensionality" requirements.
Keywords
Cite
@article{arxiv.1209.5529,
title = {Foundations of stochastic time-dependent current-density functional theory for open quantum systems: Potential pitfalls and rigorous results},
author = {Roberto D'Agosta and Massimiliano Di Ventra},
journal= {arXiv preprint arXiv:1209.5529},
year = {2013}
}
Comments
9 pages, Latex, no figures. arXiv admin note: substantial text overlap with arXiv:0911.3932