Impossibility of the existence of the universal density functional
Joint Institute for High Temperatures, Russian Academy of Sciences - Izhorskaia St., 13, Bd. 2., Moscow 125412, Russia
2 Eindhoven University of Technology - P.O. Box 513, MB 5600 Eindhoven, The Netherlands, EU
Accepted: 28 March 2011
It is established that the existing density functional theory for the ground-state energy of inhomogeneous electron gas is essentially based on the statement on the existence of the density functional for the external field potential. It is shown that this statement is not valid in the general case at the validity of the lemma proved by Hohenberg and Kohn, which establishes that for the ground state the same inhomogeneous density cannot correspond to two different external field potentials.
PACS: 31.15.E- – Density-functional theory / 71.15.Mb – Density functional theory, local density approximation, gradient and other corrections / 52.25.-b – Plasma properties
© EPLA, 2011