Foundations of stochastic time-dependent current-density functional theory for open quantum systems: Potential pitfalls and rigorous results

Physical Review B 87, 155129 (2013)

Foundations of stochastic time-dependent current-density functional theory for open quantum systems: Potential pitfalls and rigorous results

Roberto D'Agosta, Massimiliano Di Ventra

We clarify some misunderstandings on the time-dependent current-density functional theory for open quantum systems we have recently introduced [M.DiVentra and R. D’Agosta, Phys.Rev.Lett. 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, which applies to any density functional theory, showing that it must fulfill certain “dimensionality” requirements.

Additional Information

Doi
http://dx.doi.org/10.1103/PhysRevB.87.155129
arxiv
http://arxiv.org/abs/arXiv:1209.5529

Related Research Areas