{
  "annotation_id": "c6922c64-f5bf-4b1b-8264-31a4c471f541",
  "date_created": "2026-03-02T18:00:57.330000Z",
  "date_modified": "2026-03-02T18:00:57.330000Z",
  "file_hash": "7516371c080a58cf47b613e5919f37d85440c8b1e58fc9f8cdd665883b425f98",
  "private": false,
  "record": {
    "abstract": "A recently formulated version of the eigenchannel method [R. Szmytkowski,\nAnn. Phys. (N.Y.) {\\bf 311}, 503 (2004)] is applied to quantum scattering of\nSchr\\\"odinger particles from non-local separable potentials. Eigenchannel\nvectors and negative cotangents of eigenphase-shifts are introduced as\neigensolutions to some weighted matrix spectral problem, without a necessity of\nprior construction and diagonalization of the scattering matrix. Explicit\nexpressions for the scattering amplitude, the total cross section in terms of\nthe eigenchannel vectors and the eigenphase-shifts are derived. An illustrative\nexample is provided.",
    "arxiv_id": "physics/0501120",
    "authors": [
      "Remigiusz Augusiak"
    ],
    "categories": [
      "physics.atom-ph",
      "quant-ph"
    ],
    "doi": "10.1002/andp.200510139",
    "journal_ref": "Ann. Phys. (Leipzig) 14, 398-407 (2005)",
    "title": "Non-relativistic quantum scattering from non-local separable potentials:   the eigenchannel approach",
    "url": "https://arxiv.org/abs/physics/0501120"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "fbf29464-0a50-49f2-ad98-8ca423e16b95",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}