{
  "annotation_id": "8711ea38-75a4-4119-878b-b893294787b0",
  "date_created": "2026-03-02T18:00:36.334000Z",
  "date_modified": "2026-03-02T18:00:36.334000Z",
  "file_hash": "3bceb5f6c9e454b84f039d45eea3c4d673179bbdcb3af9cd153a254d7afdeddf",
  "private": false,
  "record": {
    "abstract": "We report on an original method, due to Majorana, leading to a\nsemi-analytical series solution of the Thomas-Fermi equation, with appropriate\nboundary conditions, in terms of only one quadrature. We also deduce a general\nformula for such a solution which avoids numerical integration, but is\nexpressed in terms of the roots of a given polynomial equation.",
    "arxiv_id": "physics/0111167",
    "authors": [
      "Salvatore Esposito"
    ],
    "categories": [
      "physics.atom-ph",
      "hep-ph",
      "nucl-th",
      "physics.gen-ph",
      "physics.hist-ph"
    ],
    "doi": "10.1119/1.1484144",
    "journal_ref": "Am.J.Phys. 70 (2002) 852-856",
    "title": "Majorana solution of the Thomas-Fermi equation",
    "url": "https://arxiv.org/abs/physics/0111167"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d0d7a4c8-d0f6-427e-a917-7d830428e3c8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}