Given an expression for the quantum mechanical action Aφjσ of an
N-electron system as a functional of N time-dependent spin orbitals,
we present a method of constructing the variationally best local
time-dependent single-particle potentials vσ(rt) which, when inserted
in time-dependent single-particle Schrödinger equations for the spin-up
and spin-down electrons yield orbitals φjσ(rt) that make Aφjσ
stationary. We also propose a simplification of this scheme leading
to a time-dependent generalization of the static optimized effective
potentials recently introduced by Krieger, Li, and Iafrate Phys.
Lett. A 146, 256 (1990)
Description
Time dependent density functional theory; Memory effects kernel; breakdown adiabatic approximation
%0 Journal Article
%1 Ullrich1995
%A Ullrich, C. A.
%A Gossmann, U. J.
%A Gross, E. K. U.
%D 1995
%I American Physical Society
%J Phys. Rev. Lett.
%K imported
%N 6
%P 872--
%T Time-Dependent Optimized Effective Potential
%U http://link.aps.org/abstract/PRL/v74/p872
%V 74
%X Given an expression for the quantum mechanical action Aφjσ of an
N-electron system as a functional of N time-dependent spin orbitals,
we present a method of constructing the variationally best local
time-dependent single-particle potentials vσ(rt) which, when inserted
in time-dependent single-particle Schrödinger equations for the spin-up
and spin-down electrons yield orbitals φjσ(rt) that make Aφjσ
stationary. We also propose a simplification of this scheme leading
to a time-dependent generalization of the static optimized effective
potentials recently introduced by Krieger, Li, and Iafrate Phys.
Lett. A 146, 256 (1990)
@article{Ullrich1995,
abstract = {Given an expression for the quantum mechanical action A[φjσ] of an
N-electron system as a functional of N time-dependent spin orbitals,
we present a method of constructing the variationally best local
time-dependent single-particle potentials vσ(rt) which, when inserted
in time-dependent single-particle Schrödinger equations for the spin-up
and spin-down electrons yield orbitals {φjσ(rt)} that make A[φjσ]
stationary. We also propose a simplification of this scheme leading
to a time-dependent generalization of the static optimized effective
potentials recently introduced by Krieger, Li, and Iafrate [Phys.
Lett. A 146, 256 (1990)]},
added-at = {2010-01-22T12:15:18.000+0100},
author = {Ullrich, C. A. and Gossmann, U. J. and Gross, E. K. U.},
biburl = {https://www.bibsonomy.org/bibtex/2e7123c70650ee9157c16e417d34a8f2e/myrta},
description = {Time dependent density functional theory; Memory effects kernel; breakdown adiabatic approximation},
file = {:home/cfc/myrta/VirtualLibrary/MemoryKernel/PhysRevLett.74.872.pdf:PDF},
interhash = {a3e2578e1a66cdd9a79f5a4c6b083814},
intrahash = {e7123c70650ee9157c16e417d34a8f2e},
journal = {Phys. Rev. Lett.},
keywords = {imported},
month = {February},
number = 6,
owner = {myrta},
pages = {872--},
publisher = {American Physical Society},
refid = {10.1103/PhysRevLett.74.872},
timestamp = {2010-01-22T12:15:23.000+0100},
title = {Time-Dependent Optimized Effective Potential},
url = {http://link.aps.org/abstract/PRL/v74/p872},
volume = 74,
year = 1995
}