Time-dependent exchange-correlation current density functionals with memory
Abstract
Most present applications of time-dependent density functional theory use adiabatic functionals, i.e. the effective potential at time t is determined solely by the density at the same time. This paper discusses a method that aims to go beyond this approximation, by incorporating "memory" effects: the potential will depend also on the history. We add to the adiabatic approximation an additional part that includes memory and yields a functional that is totally consis-tent with known dynamical properties of the homogeneous electron gas (in the linear response limit). In order to achieve this, we write down an action principle from which Kohn-Sham equations are derived for description of the time-dependent electron density and fluid velocity field. The action principle is built in such a way that it is Galilean invariant and yields causal equations.
Cite
@article{arxiv.cond-mat/0406456,
title = {Time-dependent exchange-correlation current density functionals with memory},
author = {Yair Kurzweil and Roi Baer},
journal= {arXiv preprint arXiv:cond-mat/0406456},
year = {2009}
}