{
  "annotation_id": "bf4f82bd-f2c4-49d1-998b-c39053327a3d",
  "date_created": "2026-03-02T18:01:21.736000Z",
  "date_modified": "2026-03-02T18:01:21.736000Z",
  "file_hash": "b27266a4f33aa56457465d321e1ee775308f7ef67204913854007bfb3f1eb495",
  "private": false,
  "record": {
    "abstract": "Using the Hilbert-Schmidt theorem, we reformulate the R-matrix theory in\nterms of a uniformly and absolutely convergent expansion. Term by term\ndifferentiation is possible with this expansion in the neighborhood of the\nsurface. Methods for improving the convergence are discussed when the\nR-function series is truncated for practical applications.",
    "arxiv_id": "physics/9709039",
    "authors": [
      "Yeong E. Kim",
      "Alexander L. Zubarev"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1088/0305-4470/31/30/013",
    "title": "The Hilbert-Schmidt Theorem Formulation of the R-Matrix Theory",
    "url": "https://arxiv.org/abs/physics/9709039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "82eae4d5-d115-4449-bc53-4ec227b30e12",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}