{
  "annotation_id": "930cd59c-6d30-455a-930a-72bcc3e4337d",
  "date_created": "2026-03-02T18:02:38.153000Z",
  "date_modified": "2026-03-02T18:02:38.153000Z",
  "file_hash": "fb8c8f19552326210a58f95cad723b7463c8887344b149e7371d5119fa1846c6",
  "private": false,
  "record": {
    "abstract": "The algebraic approach to operator perturbation method has been applied to\ntwo quantum--mechanical systems ``The Stark Effect in the Harmonic Oscillator\u0027\u0027\nand ``The Generalized Zeeman Effect\u0027\u0027. To that end, two realizations of the\nsuperoperators involved in the formalism have been carried out. The first of\nthem has been based on the Heisenberg--Dirac algebra of $\\hat{a}^\\dagger$,\n$\\hat{a}$, $\\hat{1}$ operators, the second one has been based in the angular\nmomemtum algebra of $\\hat{L}_+$, $\\hat{L}_-$ and $\\hat{L}_0$ operators. The\nsuccessful results achieved in predicting the discrete spectra of both systems\nhave put in evidence the reliability and accuracy of the theory.",
    "arxiv_id": "quant-ph/9606013",
    "authors": [
      "Ary W. Espinosa--M\u00fcller",
      "Adelio R. Matamala V\u00e1squez"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Algebraic Formulation of the Operatorial Perturbation Theory. Part 2.   Aplications",
    "url": "https://arxiv.org/abs/quant-ph/9606013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bb898ce2-ddb3-4bbb-88ce-a182c849616e",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}