{
  "annotation_id": "5f644fb8-40a8-41bf-af8f-2fe32e7e8443",
  "date_created": "2026-03-02T18:01:21.638000Z",
  "date_modified": "2026-03-02T18:01:21.638000Z",
  "file_hash": "45d52fb4c24af62d217ef7106757055eeefd4e83ccf1e7819a573f139aa07c0b",
  "private": false,
  "record": {
    "abstract": "A quantum realization of the Relativistic Harmonic Oscillator is realized in\nterms of the spatial variable $x$ and ${\\d\\over \\d x}$ (the minimal canonical\nrepresentation). The eigenstates of the Hamiltonian operator are found (at\nlower order) by using a perturbation expansion in the constant $c^{-1}$. Unlike\nthe Foldy-Wouthuysen transformed version of the relativistic hydrogen atom,\nconventional perturbation theory cannot be applied and a perturbation of the\nscalar product itself is required.",
    "arxiv_id": "physics/9802010",
    "authors": [
      "J. Guerrero",
      "V. Aldaya"
    ],
    "categories": [
      "math-ph",
      "hep-th",
      "math.MP"
    ],
    "doi": "10.1142/S0217732399001784",
    "journal_ref": "Mod.Phys.Lett. A14 (1999) 1689-1699",
    "title": "A Perturbative Approach to the Relativistic Harmonic Oscillator",
    "url": "https://arxiv.org/abs/physics/9802010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dd4347fd-9759-4b21-9b89-90a415fb06ac",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}