Exact relation in the density functional theory

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Published 9 December 2010 Europhysics Letters Association
, , Citation V. B. Bobrov et al 2010 EPL 92 57001 DOI 10.1209/0295-5075/92/57001

0295-5075/92/5/57001

Abstract

Based on the Hohenberg-Kohn theorem, an exact integral expression is derived, which relates the nonuniform density to the inverse response function in the equilibrium system of interacting electrons. This relation is a necessary condition for the existence of the universal density functional in the density functional theory. The possibility of developing a regular procedure for calculating the density functional for the free energy or ground-state energy is shown.

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10.1209/0295-5075/92/57001