{
  "annotation_id": "77fc866b-2f49-4614-b89a-e51e66554dd4",
  "date_created": "2026-03-02T18:02:10.191000Z",
  "date_modified": "2026-03-02T18:02:10.191000Z",
  "file_hash": "61633d350b7d735d135d841733feadeb89755492c35799c8e4f07d1b64b4eea8",
  "private": false,
  "record": {
    "abstract": "We present a detailed analysis of the scattering of charged particles by the\nmagnetic field of a long solenoid of constant magnetic flux and finite radius.\nWe study the relativistic and non-relativistic quantum and classical scenarios.\nThe classical limit of the perturbative quantum expressions, understood as the\nPlanck\u0027s limit (making $\\hbar$ going to zero) is analyzed and compared with the\nclassical result. The classical cross section shows a general non-symmetric\nbehavior with respect to the scattering angle in contradistinction to the\nquantum calculations performed so far. The various regimes analyzed show that\nthe quantum cross sections do not satisfy the correspondence principle: they do\nnot reduce to the classical result in any considered limit, an argument in\nfavor of the interpretation of the process as a purely quantum phenomenon. We\nconclude that in order to restore the classical correspondence of the\nphenomenon, a complete non-perturbative quantum calculation for a finite\nsolenoid radius is required.",
    "arxiv_id": "quant-ph/0407123",
    "authors": [
      "Gabriela Murguia",
      "Matias Moreno",
      "Manuel Torres"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "physics.class-ph"
    ],
    "title": "Quantum versus classical scattering of Dirac particles by a solenoidal   magnetic field and the correspondence principle",
    "url": "https://arxiv.org/abs/quant-ph/0407123"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1f4d3141-9b72-4fc0-a10a-c4b6a1acce9c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}