{
  "annotation_id": "3dd669e3-ce2d-4648-bce6-a75e1874acf5",
  "date_created": "2026-03-02T18:00:01.604000Z",
  "date_modified": "2026-03-02T18:00:01.604000Z",
  "file_hash": "82ebb27d1205ea0a04475e0ee6d1ba1d1ec271dcacbd0506da290ea92b824e7b",
  "private": false,
  "record": {
    "abstract": "As natural extensions of the boson realizations of the su(2)- and the\nsu(1,1)-algebra, the so(4)- and the so(3,1)-algebras are presented in the form\nof boson realizations with four kinds of boson operators. For each algebra, two\nforms are discussed. One is constructed in terms of two sets of the boson\noperators which play a role of spherical tensor with rank 1/2. The other is\nbased on the ranks 1 and 0. As a possible application, the Runge-Lenz-Pauli\nvector, which is famous in the hydrogen atom, is derived with some aspects.",
    "arxiv_id": "nucl-th/0411075",
    "authors": [
      "S. Nishiyama",
      "C. Providencia",
      "J. da Providencia",
      "Y. Tsue",
      "M. Yamamura"
    ],
    "categories": [
      "nucl-th"
    ],
    "doi": "10.1143/PTP.113.563",
    "journal_ref": "Prog.Theor.Phys. 113 (2005) 563-580",
    "title": "A Possible Boson Realization of the so(4)- and the so(3,1)-Algebra",
    "url": "https://arxiv.org/abs/nucl-th/0411075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7ca40f2e-5f85-4c28-8889-6b70e6d7de3c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}