Year: 2026
Type: preprint
Abstract: Jellium, a system of electrons in a uniform neutralizing background, and the uniform electron gas (UEG), a system of electrons with constant density and no background, are two standard models of the electron gas. We prove that the ground-state energy per unit volume of Jellium, as defined by Lieb and Narnhofer, coincides with the UEG energy defined by Lewin, Lieb and Seiringer, i.e. \[ e^\hbar_{\rm Jel}(ρ_0)=e^\hbar_{\rm UEG}(ρ_0). \] This equality was previously established in the classical case by Lewin, Lieb and Seiringer and independently by Cotar and Petrache.
Source: arXiv (Cornell University)
Author: Csirik, Mihály A.
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7222705884