PreprintCC BY 4.0arXiv
Equality of the Jellium and the Uniform Electron Gas Energies
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. eℏJel(ρ0)=eℏUEG(ρ0). This equality was previously established in the classical case by Lewin, Lieb and Seiringer and independently by Cotar and Petrache.
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BibTeX
@misc{csirik2026equality,
title = {{Equality of the Jellium and the Uniform Electron Gas Energies}},
author = {Mihály A. Csirik},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.20910},
eprint = {2610.20910},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.20910},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Equality of the Jellium and the Uniform Electron Gas Energies
AU - Mihály A. Csirik
PY - 2026
DA - 2026/10/14
PB - arXiv
DO - 10.48550/arxiv.2610.20910
UR - https://arxiv.org/abs/2610.20910
AB - 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^ℏ_Jel(ρ_0)=e^ℏ_UEG(ρ_0). This equality was previously established in the classical case by Lewin, Lieb and Seiringer and independently by Cotar and Petrache.
ER -