Phys. Rev. B 59, 7876–7887 (1999)Exact exchange-correlation potential for a time-dependent two-electron systemReceived 9 September 1998; published in the issue dated 15 March 1999 We obtain a solution of the time-dependent Schrödinger 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 vxc, which enters the Kohn-Sham equation of time-dependent density functional theory. Our “exact” result provides a benchmark against which various approximate forms for vxc can be compared. Finally, vxc 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. © 1999 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.59.7876
DOI:
10.1103/PhysRevB.59.7876
PACS:
71.15.Mb, 71.45.Gm, 71.10.Ca, 31.15.Ew
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