1998/09/09 by Irene D'Amico, Irene D’Amico, Giovanni Vignale · 34 citations
Mathematics · Physics and Astronomy · #Adiabatic process #Advanced Chemical Physics Studies #Curvature #Electron #Exact solutions in general relativity #Geometry #Isotropy #Mathematical analysis #Mathematical physics #Mathematics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #cond-mat
paper · pdf · doi:10.1103/physrevb.59.7876
published in Physical review. B, Condensed matter 59(12), 7876-7887 (American Physical Society) · 23 pages, 6 figures
arxiv created 1998/09/09 · openalex publication_date 1999/03/15 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We obtain a solution of the time-dependent Schr"odinger 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.