%0 Journal Article %1 D'Amico1999 %A D'Amico, Irene %A Vignale, Giovanni %D 1999 %I American Physical Society %J Phys. Rev. B %K imported %N 12 %P 7876 %T Exact exchange-correlation potential for a time-dependent two-electron system %U http://link.aps.org/abstract/PRB/v59/p7876 %V 59 %X 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.

@article{D'Amico1999, abstract = {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.}, added-at = {2010-01-22T12:15:18.000+0100}, author = {D'Amico, Irene and Vignale, Giovanni}, biburl = {https://www.bibsonomy.org/bibtex/21b676f5cced7dfa0b9e1192d056684d5/myrta}, description = {Time dependent density functional theory; Memory effects kernel; breakdown adiabatic approximation}, file = {:home/cfc/myrta/VirtualLibrary/MemoryKernel/PhysRevB.59.7876.pdf:PDF}, interhash = {ce2c6180d74f77400004e47e571a8fe5}, intrahash = {1b676f5cced7dfa0b9e1192d056684d5}, journal = {Phys. Rev. B}, keywords = {imported}, month = {March}, number = 12, owner = {myrta}, pages = 7876, publisher = {American Physical Society}, refid = {10.1103/PhysRevB.59.7876}, timestamp = {2010-01-22T12:15:18.000+0100}, title = {Exact exchange-correlation potential for a time-dependent two-electron system}, url = {http://link.aps.org/abstract/PRB/v59/p7876}, volume = 59, year = 1999 }