{
  "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.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.20910",
  "author_total": 1,
  "authors": [
    {
      "name": "Mihály A. Csirik"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/chkrz77yjwgtt.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.20910",
  "fulltext_url": null,
  "id": "chkrz77yjwgtt",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.20910",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.quant-gas"
    ],
    [
      "arxiv",
      "cond-mat.stat-mech"
    ],
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
    ]
  ],
  "openalex": "W7222705884",
  "pdf_url": "https://arxiv.org/pdf/2610.20910",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/chkrz77yjwgtt.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:50Z",
      "native_id": "2610.20910",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.20910"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "amo"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.quant-gas",
      "subfield": "condensed-matter"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.stat-mech",
      "subfield": "statistical-nonlinear"
    }
  ],
  "title": "Equality of the Jellium and the Uniform Electron Gas Energies",
  "title_text": "Equality of the Jellium and the Uniform Electron Gas Energies",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:54Z",
  "url": "https://research.draconitic.com/paper/chkrz77yjwgtt",
  "venue": "arXiv",
  "versions": []
}