{
  "annotation_id": "308eef82-1893-405b-9734-b6041bb2a87c",
  "date_created": "2026-03-02T18:01:21.683000Z",
  "date_modified": "2026-03-02T18:01:21.683000Z",
  "file_hash": "9d9005c7cf21c15b03afb3403a4789720dbb569b2f25d983d1546b446809b9db",
  "private": false,
  "record": {
    "abstract": "General guidelines for constructing a quantum theory of charged-particle beam\noptics starting ab initio from the basic equations of quantum mechanics,\nappropriate to the situation under study. In the context of spin-1/2 particles,\nthese guidelines are used starting with the Dirac equation. The spinor theory\njust constructed is used to obtain the transfer maps for normal and skew\nmagnetic quadrupoles respectively. As expected the traditional transfer maps\nget modified by the quantum contributions. The classical limit of the quantum\nformalism presented, reproduces the well-known Lie algebraic formalism of\ncharged-particle beam optics.",
    "arxiv_id": "physics/9809032",
    "authors": [
      "Sameen Ahmed Khan"
    ],
    "categories": [
      "physics.acc-ph",
      "physics.optics",
      "quant-ph"
    ],
    "title": "Quantum theory of magnetic quadrupole lenses for spin-1/2 particles",
    "url": "https://arxiv.org/abs/physics/9809032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e2668325-4788-4f12-b68f-86364037980c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}