{
  "annotation_id": "d0ef367c-6893-462d-ac98-1a3aa7d672bb",
  "date_created": "2026-03-02T18:02:41.364000Z",
  "date_modified": "2026-03-02T18:02:41.364000Z",
  "file_hash": "c021c8d92ba439d70eda938f552a2ccbb61bc25d4db8e828ef14c57b8107eec0",
  "private": false,
  "record": {
    "abstract": "We investigate the Dirac equation in the semiclassical limit \\hbar --\u003e 0. A\nsemiclassical propagator and a trace formula are derived and are shown to be\ndetermined by the classical orbits of a relativistic point particle. In\naddition, two phase factors enter, one of which can be calculated from the\nThomas precession of a classical spin transported along the particle orbits.\nFor the second factor we provide an interpretation in terms of dynamical and\ngeometric phases.",
    "arxiv_id": "quant-ph/9805041",
    "authors": [
      "Jens Bolte",
      "Stefan Keppeler"
    ],
    "categories": [
      "quant-ph",
      "chao-dyn",
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "doi": "10.1103/PhysRevLett.81.1987",
    "journal_ref": "Phys.Rev.Lett. 81 (1998) 1987-1991",
    "title": "Semiclassical Time Evolution and Trace Formula for Relativistic Spin-1/2   Particles",
    "url": "https://arxiv.org/abs/quant-ph/9805041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "34c091da-00a6-4a80-a35f-7ceaa6046f4c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}