Exact exchange-correlation potential for a time-dependent two-electron system

被引:32
作者
D'Amico, I [1 ]
Vignale, G [1 ]
机构
[1] Univ Missouri, Dept Phys, Columbia, MO 65211 USA
来源
PHYSICAL REVIEW B | 1999年 / 59卷 / 12期
关键词
D O I
10.1103/PhysRevB.59.7876
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
We obtain a solution of the time-dependent Schrodinger 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. [S0163-1829(99)01011-5].
引用
收藏
页码:7876 / 7887
页数:12
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