{
  "annotation_id": "6f0b2d24-ff53-4d27-a31c-23bd543a3925",
  "date_created": "2026-03-02T18:02:12.908000Z",
  "date_modified": "2026-03-02T18:02:12.908000Z",
  "file_hash": "cb155185dd2156d75ad332f21f0e292ee80ac820d1827512ac6b70d6832ca5d3",
  "private": false,
  "record": {
    "abstract": "We present a self-contained discussion of the use of the transfer-matrix\nformalism to study one-dimensional scattering. We elaborate on the geometrical\ninterpretation of this transfer matrix as a conformal mapping on the unit disk.\nBy generalizing to the unit disk the idea of turns, introduced by Hamilton to\nrepresent rotations on the sphere, we develop a method to represent transfer\nmatrices by hyperbolic turns, which can be composed by a simple\nparallelogramlike rule.",
    "arxiv_id": "quant-ph/0411081",
    "authors": [
      "L. L. Sanchez-Soto",
      "J. F. Carinena",
      "A. G. Barriuso",
      "J. J. Monzon"
    ],
    "categories": [
      "quant-ph",
      "physics.ed-ph"
    ],
    "journal_ref": "European Journal of Physics 26, 469 (2005)",
    "title": "Vectorlike representation of one-dimensional scattering",
    "url": "https://arxiv.org/abs/quant-ph/0411081"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bd6f8315-788a-4b28-91f9-f4bcd3829eca",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}