@article{180,
  abstract     = {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.},
  author       = {Lewi, Mathieu and Lieb, Élliott and Seiringer, Robert},
  issn         = {2270-518X},
  journal      = {Journal de l'Ecole Polytechnique - Mathematiques},
  pages        = {79 -- 116},
  publisher    = {Ecole Polytechnique},
  title        = {{Statistical mechanics of the uniform electron gas}},
  doi          = {10.5802/jep.64},
  volume       = {5},
  year         = {2018},
}