TY - JOUR
AB - In this paper we define and study the classical Uniform Electron Gas (UEG), a system of infinitely many electrons whose density is constant everywhere in space. The UEG is defined differently from Jellium, which has a positive constant background but no constraint on the density. We prove that the UEG arises in Density Functional Theory in the limit of a slowly varying density, minimizing the indirect Coulomb energy. We also construct the quantum UEG and compare it to the classical UEG at low density.
AU - Lewi, Mathieu
AU - Lieb, Élliott
AU - Seiringer, Robert
ID - 180
JF - Journal de l'Ecole Polytechnique - Mathematiques
TI - Statistical mechanics of the uniform electron gas
VL - 5
ER -