Exact exchange-correlation potential for a time-dependent two electron system
凝聚态物理
2009-10-31 v1
摘要
We obtain an exact solution of the time-dependent Schroedinger equation for a two-electron system confined to a plane by an isotropic parabolic potential whose curvature is periodically modulated in time. From this solution we compute the exact time-dependent exchange correlation potential v_xc which enters the Kohn-Sham equation of time-dependent density functional theory. Our exact result provides a benchmark against which various approximate forms for v_xc can be compared. Finally v_xc is separated in an adiabatic and a pure dynamical part and it is shown that, for the particular system studied, the dynamical part is negligible.
引用
@article{arxiv.cond-mat/9809146,
title = {Exact exchange-correlation potential for a time-dependent two electron system},
author = {Irene D'Amico and Giovanni Vignale},
journal= {arXiv preprint arXiv:cond-mat/9809146},
year = {2009}
}
备注
23 pages, 6 figures