{
  "annotation_id": "9560481e-e12a-4280-95b5-7048bb5c91ea",
  "date_created": "2026-03-02T18:00:49.940000Z",
  "date_modified": "2026-03-02T18:00:49.940000Z",
  "file_hash": "21d9bb5d16ae4f065e1f5af8d948130db4746768ff311c16c84ce0bcf3d5dc7f",
  "private": false,
  "record": {
    "abstract": "The tensorial form of the spin-other-orbit interaction operator in the\nformalism of second quantization is presented. Such an expression is needed to\ncalculate both diagonal and off-diagonal matrix elements according to an\napproach, based on a combination of second quantization in the coupled\ntensorial form, angular momentum theory in three spaces (orbital, spin and\nquasispin), and a generalized graphical technique. One of the basic features of\nthis approach is the use of tables of standard quantities, without which the\nprocess of obtaining matrix elements of spin-other-orbit interaction operator\nbetween any electron configurations is much more complicated. Some special\ncases are shown for which the tensorial structure of the spin-other-orbit\ninteraction operator reduces to an unusually simple form.",
    "arxiv_id": "physics/0405092",
    "authors": [
      "G. Gaigalas",
      "A. Bernotas",
      "Z. Rudzikas",
      "C. Froese Fischer"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1088/0031-8949/57/2/008",
    "journal_ref": "Physica Scripta 57 (1998) 207-212",
    "title": "Spin-other-orbit operator in the tensorial form of second quantization",
    "url": "https://arxiv.org/abs/physics/0405092"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0724f34a-9d9f-44da-a722-1b3ed00308e9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}