Physical Review Letters

Several Theorems in Time-Dependent Density Functional Theory

Paul Hessler, Jang Park, Kieron Burke

Published Jan 11, 1999• 90 citations

Abstract

The time dependence of the exchange-correlation energy in density functional theory is given in terms of the exchange-correlation potential. The virial theorem for the exchange-correlation potential is shown to hold for time-dependent electronic systems and is illustrated by an exactly solved model: Hooke's atom with a time-dependent force constant. A relation between the coupling constant and functionals evaluated on scaled densities is derived.

DOI: 10.1103/physrevlett.82.378

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