{
  "annotation_id": "b548163c-9427-40d8-abc3-53c31c2d446a",
  "date_created": "2026-03-02T18:00:38.498000Z",
  "date_modified": "2026-03-02T18:00:38.498000Z",
  "file_hash": "2a36ebfd8448dd559bbe68742de422b79c3b047b361b19e37e5953369295e747",
  "private": false,
  "record": {
    "abstract": "A general procedure for construction of the formalism of quantum beam optics\nfor any particle is reviewed. The quantum formalism of spin-1/2 particle beam\noptics is presented starting {\\em ab initio} with the Dirac equation. As an\nexample of application the case of normal magnetic quadrupole lens is\ndiscussed. In the classical limit the quantum formalism leads to the well-known\nLie algebraic formalism of classical particle beam optics.",
    "arxiv_id": "physics/0112085",
    "authors": [
      "Sameen Ahmed Khan"
    ],
    "categories": [
      "physics.acc-ph",
      "physics.gen-ph",
      "physics.optics",
      "quant-ph"
    ],
    "doi": "10.1142/9789812777447_0042",
    "title": "Quantum mechanical formalism of particle beam optics",
    "url": "https://arxiv.org/abs/physics/0112085"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "16f96a5c-9055-410e-9a9f-5c5f6ea39d9a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}