Algebraic Density Functionals

Abstract

A systematic strategy for the calculation of density functionals (DFs) consists in coding informations about the density and the energy into polynomials of the degrees of freedom of wave functions. DFs and Kohn-Sham potentials (KSPs) are then obtained by standard elimination procedures of such degrees of freedom between the polynomials. Numerical examples illustrate the formalism.Comment: 7 pages, 2 figures, changes to extend discussion of Kohn-Sham potentials, and also for interacting particles. Accepted for publication in Physics Letters