{
  "annotation_id": "2e362a24-e563-4f32-89de-ffbd9a44822d",
  "date_created": "2026-03-02T18:02:07.092000Z",
  "date_modified": "2026-03-02T18:02:07.092000Z",
  "file_hash": "29eee9bb38e97ea2e3981c0495c8bdb966d3dbdf17e71659ec810799f8e140ab",
  "private": false,
  "record": {
    "abstract": "Exact solutions of the Schr\\\"odinger equation for the Coulomb potential are\nused in the scope of both stationary and time-dependent scattering theories in\norder to find the parameters which define regularization of the Rutherford\ncross-section when the scattering angle tends to zero but the distance r from\nthe center remains fixed. Angular distribution of the particles scattered in\nthe Coulomb field is investigated on the rather large but finite distance r\nfrom the center. It is shown that the standard asymptotic representation of the\nwave functions is not available in the case when small scattering angles are\nconsidered. Unitary property of the scattering matrix is analyzed and the\n\"optical\" theorem for this case is discussed. The total and transport\ncross-sections for scattering of the particle by the Coulomb center proved to\nbe finite values and are calculated in the analytical form. It is shown that\nthe considered effects can be essential for the observed characteristics of the\ntransport processes in semiconductors which are defined by the electron and\nhole scattering in the fields of the charged impurity centers.",
    "arxiv_id": "quant-ph/0403050",
    "authors": [
      "V. G. Baryshevskii",
      "I. D. Feranchuk",
      "P. B. Kats"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.70.052701",
    "title": "Regularization of the Coulomb scattering problem",
    "url": "https://arxiv.org/abs/quant-ph/0403050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "26c801e5-1b2f-4f76-8d3a-ad3e1e7c7a03",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}