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

Abstract

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.

23 pages, 6 figures

References in corpus (3)

• Current-dependent exchange-correlation potential for dynamical linear response theory
• Time-dependent density functional theory beyond the adiabatic local density approximation
• Dynamic exchange-correlation potentials for the electron gas in dimensionality D=3 and D=2

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