{
  "annotation_id": "9564e5ad-6b72-423f-928e-fc96c991ac44",
  "date_created": "2026-03-02T18:02:20.412000Z",
  "date_modified": "2026-03-02T18:02:20.412000Z",
  "file_hash": "95858865f263f2727a10aad72ae75ab4e20f5c378956a2e1698862fa57fb7b03",
  "private": false,
  "record": {
    "abstract": "The theorem known from Pauli equation about operators that anticommute with\nDirac\u0027s $K$-operator is generalized to the Dirac equation. By means of this\ntheorem the operator is constructed which governs the hidden symmetry in\nrelativistic Coulomb problem (Dirac equation). It is proved that this operator\ncoincides with the familiar Johnson-Lippmann one and is intimately connected to\nthe famous Laplace-Runge-Lenz (LRL) vector. Our derivation is very simple and\ninformative. It does not require a longtime and tedious calculations, as is\nofften underlined in most papers.",
    "arxiv_id": "quant-ph/0507257",
    "authors": [
      "Tamari T. Khachidze",
      "Anzor A. Khelashvili"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Bull.Georg.Acad.Sci. 172 (2005) 452",
    "title": "Manifestations the hidden symmetry of Coulomb problem in the   relativistic quantum mechanics - from Pauli to Dirac electron",
    "url": "https://arxiv.org/abs/quant-ph/0507257"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5a934605-5ae0-4f13-94b1-3d4b1b2f082a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}