Abstract

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

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