Coordinate scaling in time-dependent current density functional theory
Maxime Dion, Kieron Burke
Abstract
The coupling constant dependence is derived in time-dependent 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.
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