{
  "annotation_id": "318adee2-b0c4-4e59-b537-e0ed8f197509",
  "date_created": "2026-03-02T18:02:33.714000Z",
  "date_modified": "2026-03-02T18:02:33.714000Z",
  "file_hash": "dd58cafb37bbb3af0845ab89e96cdb98fb38821f4526792be2f61849603ead18",
  "private": false,
  "record": {
    "abstract": "We construct a tridiagonal matrix representation for the three dimensions\nDirac-Coulomb Hamiltonian that provides for a simple and straightforward\nrelativistic extension of the complex scaling method. Besides the Coulomb\ninteraction, additional vector, scalar, and pseudo-scalar coupling to\nshort-range potentials could also be included in the same representation. Using\nthat, we are able to obtain highly accurate values for the relativistic bound\nstates and resonance energies. A simple program code is developed to perform\nthe calculation for a given charge, angular momentum and potential\nconfiguration. The resonance structure in the complex relativistic energy plane\nis also shown graphically. Illustrative examples are given and we verify that\nin the nonrelativistic limit one obtains known results. As an additional\nadvantage of this tridiagonal representation, we use it to obtain a highly\naccurate evaluation of the relativistic bound states energies for the\nWoods-Saxon potential (as a model of nuclear interaction) with the nucleus\ntreated as solid sphere of uniform charge distribution.",
    "arxiv_id": "quant-ph/0703013",
    "authors": [
      "A. D. Alhaidari"
    ],
    "categories": [
      "quant-ph",
      "nucl-th",
      "physics.chem-ph"
    ],
    "doi": "10.1103/PhysRevA.75.042707",
    "journal_ref": "Phys.Rev.A75:042707,2007",
    "title": "Relativistic extension of the complex scaling method",
    "url": "https://arxiv.org/abs/quant-ph/0703013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "640c8399-c7aa-43b6-a8f9-635fce9380bc",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}