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

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

1998-09-09

arxiv.org/abs/cond-mat/9809146v1

Physics

Condensed Matter

23 pages, 6 figures

Scientific paper

10.1103/PhysRevB.59.7876

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.

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