Time-dependent exchange-correlation current density functionals with memory

Abstract

Most present applications of time-dependent density functional theory use adiabatic functionals, i.e. the effective potential at time t is determined solely by the density at the same time. This paper discusses a method that aims to go beyond this approximation, by incorporating "memory" effects: the potential will depend also on the history. We add to the adiabatic approximation an additional part that includes memory and yields a functional that is totally consis-tent with known dynamical properties of the homogeneous electron gas (in the linear response limit). In order to achieve this, we write down an action principle from which Kohn-Sham equations are derived for description of the time-dependent electron density and fluid velocity field. The action principle is built in such a way that it is Galilean invariant and yields causal equations.

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• Quantum memory effects on the dynamics of electrons in small gold clusters
• Adiabatic approximation in time-dependent reduced-density-matrix functional theory
• Non-Adiabatic Approximations in Time-Dependent Density Functional Theory: Progress and Prospects
• Generic Galilean invariant exchange correlation functionals with quantum memory
• Adapting approximate memory potentials for time-dependent density functional theory
• The generator coordinate method in time-dependent density-functional theory: memory made simple
• Time-dependent current density functional theory via time-dependent deformation functional theory: A constrained search formulation in the time domain
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• A Snapshot of Time-Dependent Density-Functional Theory
• Time-Dependent Density Functional Theory Applied to Average Atom Opacity
• Charge nonconservation of molecular devices in the presence of a nonlocal potential
• Investigating interaction-induced chaos using time-dependent density functional theory
• The Role of Exact Conditions in TDDFT