{
  "abstract": "We are interested in whether the Riesz means of the eigenvalues of the Coulomb Hamiltonian can be bounded by the corresponding semiclassical phase space integral. In dimensions two and three we determine the optimal Riesz exponent above which this bound holds.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.34181",
  "author_total": 3,
  "authors": [
    {
      "name": "Rupert L. Frank"
    },
    {
      "name": "Bernard Helffer"
    },
    {
      "name": "François Nicoleau"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/24ymmpw0jmcaj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.34181",
  "fulltext_url": null,
  "id": "24ymmpw0jmcaj",
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  "landing_url": "https://arxiv.org/abs/2610.34181",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
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      "arxiv",
      "math.CA"
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      "math.MP"
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      "2610|Spectral Theory in Mathematical Physics"
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  "openalex": "W7223920649",
  "pdf_url": "https://arxiv.org/pdf/2610.34181",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/24ymmpw0jmcaj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:35:35Z",
      "native_id": "2610.34181",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.34181"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.CA",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Optimal Riesz mean inequalities for the Coulomb Hamiltonian",
  "title_text": "Optimal Riesz mean inequalities for the Coulomb Hamiltonian",
  "type": "preprint",
  "updated_at": "2026-10-30T12:35:40Z",
  "url": "https://research.draconitic.com/paper/24ymmpw0jmcaj",
  "venue": "arXiv",
  "versions": []
}