10.5802/jep.64
Lewi, Mathieu
Mathieu
Lewi
Lieb, Élliott
Élliott
Lieb
Seiringer, Robert
Robert
Seiringer
Statistical mechanics of the uniform electron gas
Ecole Polytechnique
2018
2018-12-11T11:45:03Z
2019-08-02T12:37:26Z
journal_article
https://research-explorer.app.ist.ac.at/record/180
https://research-explorer.app.ist.ac.at/record/180.json
843938 bytes
application/pdf
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.