{
  "annotation_id": "c622d28f-5d8f-4dbb-a094-5d548101c4e3",
  "date_created": "2026-03-02T18:01:42.261000Z",
  "date_modified": "2026-03-02T18:01:42.261000Z",
  "file_hash": "2c64c7ea33314555761cedafda58c713ede22ae2a6273eccde492661946d1232",
  "private": false,
  "record": {
    "abstract": "The Hamiltonian of the radial Coulomb Klein-Gordon and second order Dirac\nequations are shown to possess an infinite symmetric tridiagonal matrix\nstructure on the relativistic Coulomb Sturmian basis. This allows us to give an\nanalytic representation for the corresponding Coulomb Green\u0027s operators in\nterms of continued fractions. The poles of the Green\u0027s matrix reproduce the\nexact relativistic hydrogen spectrum.",
    "arxiv_id": "quant-ph/0101059",
    "authors": [
      "B. K\u00f3nya",
      "Z. Papp"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.532865",
    "journal_ref": "J. Math. Phys. 40, (1999), 2307",
    "title": "On the Coulomb Sturmian matrix elements of relativistic Coulomb Green\u0027s   operators",
    "url": "https://arxiv.org/abs/quant-ph/0101059"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b8e305a3-0197-49d7-aa22-8aa4df8ab763",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}