Coordinate scaling in time-dependent current density functional theory

Abstract

The coupling constant dependence is derived in time-dependent {\em current} density functional theory. The scaling relation can be used to check approximate functionals and in conjunction with the adiabatic connection formula to obtain the ground-state energy from the exchange-correlation kernel. The result for the uniform gas using the Vignale-Kohn approximation is deduced.

4 pages; to appear as PRA rapid communication

References in corpus (7)

• Van der Waals Density Functional for General Geometries
• Van der Waals Energies in Density Functional Theory
• Current-dependent exchange-correlation potential for dynamical linear response theory
• Describing static correlation in bond dissociation by Kohn-Sham density functional theory
• Mapping from current densities to vector potentials in time-dependent current-density functional theory
• Dynamic exchange-correlation potentials for the electron gas in dimensionality D=3 and D=2
• Correlation energy of a two-dimensional electron gas from static and dynamic exchange-correlation kernels

Cited by in corpus (4)

• Non-adiabatic time-dependent density functional theory of the impurity resistivity of metals
• On the relation between the scalar and tensor exchange-correlation kernels of the time-dependent density-functional theory
• Viscoelastic description of electron subsystem of a semi-bounded metal within generalized "jellium" model
• The Role of Exact Conditions in TDDFT