{
  "annotation_id": "02b5458f-257c-47dc-b1a4-738ac8425bce",
  "date_created": "2026-03-02T18:00:43.262000Z",
  "date_modified": "2026-03-02T18:00:43.262000Z",
  "file_hash": "94edf3148bfe48fa2bfe6cd1ad34751514e0221972c8fdb1d4e1591fbf2c89b7",
  "private": false,
  "record": {
    "abstract": "Classical mechanical treatment of charged particle beam optics is so far very\nsatisfactory from a practical point of view in applications ranging from\nelectron microscopy to accelerator technology. However, it is desirable to\nunderstand the underlying quantum mechanics since the classical treatment is\nonly an approximation. Quantum mechanical treatment of spin-1/2 particle beam\ntransport through optical elements with straight optic axes, based on the\nproper equation, namely, the Dirac equation, has been developed already to some\nextent. In such a theory the orbital and spin motions are treated within a\nunified framework. Here, after a brief review of the Dirac spinor beam optics\nfor systems with straight optic axes it is outlined how the application of the\nformalism of general relativity leads to the use of the Dirac equation for\ngetting a quantum theory of spin-1/2 beam transport through optical elements\nwith curved axes.",
    "arxiv_id": "physics/0304099",
    "authors": [
      "R. Jaganathan"
    ],
    "categories": [
      "physics.acc-ph"
    ],
    "doi": "10.1142/9789812702333_0002",
    "title": "Quantum mechanics of Dirac particle beam transport through optical   elements with straight and curved axes",
    "url": "https://arxiv.org/abs/physics/0304099"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ab64bedc-ee73-45e2-9345-83da5c60b4d9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}