{
  "annotation_id": "038f6bd9-555f-4e01-b96e-d714429fa8a4",
  "date_created": "2026-03-02T18:01:17.700000Z",
  "date_modified": "2026-03-02T18:01:17.700000Z",
  "file_hash": "251ebfea3cb59971103eb9095d273ea330dad1fdf59d8844872dc965bb36d8e6",
  "private": false,
  "record": {
    "abstract": "A new algorithm to calculate Coulomb wave functions with all of its arguments\ncomplex is proposed. For that purpose, standard methods such as continued\nfractions and power/asymptotic series are combined with direct integrations of\nthe Schrodinger equation in order to provide very stable calculations, even for\nlarge values of |eta| or |Im(l)|. Moreover, a simple analytic continuation for\nRe(z) \u003c 0 is introduced, so that this zone of the complex z-plane does not pose\nany problem. This code is particularly well suited for low-energy calculations\nand the calculation of resonances with extremely small widths. Numerical\ninstabilities appear, however, when both |eta| and |Im(l)| are large and\n|Re(l)| comparable or smaller than |Im(l)|.",
    "arxiv_id": "physics/0702051",
    "authors": [
      "N. Michel"
    ],
    "categories": [
      "physics.comp-ph"
    ],
    "doi": "10.1016/j.cpc.2006.10.004",
    "journal_ref": "Comput. Phys. Comm., Volume 176, Issue 3, 1 February 2007, Pages\n  232-249",
    "title": "Precise Coulomb wave functions for a wide range of complex l, eta and z",
    "url": "https://arxiv.org/abs/physics/0702051"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "72f22826-35d4-41aa-abd9-757affceb423",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}