{
  "annotation_id": "8c89e39d-0d1f-4773-9511-f4ccd8f661ca",
  "date_created": "2026-03-02T18:01:55.785000Z",
  "date_modified": "2026-03-02T18:01:55.785000Z",
  "file_hash": "7cad3dc34489f2e6e7f55a8d352320fd17a73822210587641dd324378343eae3",
  "private": false,
  "record": {
    "abstract": "We present a relativistic quantum calculation at first order in perturbation\ntheory of the differential cross section for a Dirac particle scattered by a\nsolenoidal magnetic field. The resulting cross section is symmetric in the\nscattering angle as those obtained by Aharonov and Bohm (AB) in the string\nlimit and by Landau and Lifshitz (LL) for the non relativistic case. We show\nthat taking pr_0\\|sin(\\theta/2)|/\\hbar\u003c\u003c1 in our expression of the differential\ncross section it reduces to the one reported by AB, and if additionally we\nassume \\theta \u003c\u003c 1 our result becomes the one obtained by LL. However, these\nlimits are explicitly singular in \\hbar as opposed to our initial result. We\nanalyze the singular behavior in \\hbar and show that the perturbative Planck\u0027s\nlimit (\\hbar -\u003e 0) is consistent, contrarily to those of the AB and LL\nexpressions. We also discuss the scattering in a uniform and constant magnetic\nfield, which resembles some features of QCD.",
    "arxiv_id": "quant-ph/0211195",
    "authors": [
      "G. Murguia",
      "M. Moreno"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/36/10/314",
    "journal_ref": "J.Phys.A36:2545-2554,2003",
    "title": "Classical limit for the scattering of Dirac particles in a magnetic   field",
    "url": "https://arxiv.org/abs/quant-ph/0211195"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8dcf9f69-cdf0-4407-85a0-86d674c8968c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}