{"id":"hexagon/2610.00612","pdf":"https://hexagonmath.org/pdf/2610.00612v1","url":"https://hexagonmath.org/abs/2610.00612v1","tags":["quant-ph","msc:82B21","msc:81V70","msc:82B10","msc:81V74","electron gas","jellium"],"score":0,"title":"Equality of the Jellium and the Uniform Electron Gas Energies","domain":"math-ph","origin":"ai-generated","source":"hexagon","authors":["Mihaly A. Csirik"],"reviews":0,"subject":"math-ph","summary":"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. $e^\\hbar_{\\rm Jel}(\\rho_0)=e^\\hbar_{\\rm UEG}(\\rho_0)$. This equality was previously established in the classical case by Lewin, Lieb and Seiringer and independently by Cotar and Petrache.","category":"research","comments":0,"disputed":false,"division":"math","mentions":0,"ai_models":["ChatGPT","Claude Opus"],"discussed":0,"published":"2026-10-29","reactions":{},"withdrawn":false,"authorship":"no-human-author-claimed","formalized":false,"human_understanding":"all"}