2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/29929We propose a new and general method for deriving exact density functionals in one dimension for lattice gases with finite-range pairwise interactions. Corresponding continuum functionals are derived by applying a proper limiting procedure. The method is based on a generalised Markov property, which allows us to set up a rather transparent scheme that covers all previously known exact functionals for one-dimensional lattice gas or fluid systems. Implications for a systematic construction of approximate density functionals in higher dimensions are pointed out.5 pages. To appear in J.Phys.A:Math.Gen. 32 (2000) L1Statistical Mechanicstext