{
  "annotation_id": "ee690184-0a16-4175-ac81-769efb57bc60",
  "date_created": "2026-03-02T18:02:47.319000Z",
  "date_modified": "2026-03-02T18:02:47.319000Z",
  "file_hash": "4a2aac6e4952262d2b000053fb1f3febc03afafab84b1ad32533fc5d66823df6",
  "private": false,
  "record": {
    "abstract": "The spin coherent state path integral describing the dynamics of a\nspin-1/2-system in a magnetic field of arbitrary time-dependence is considered.\nDefining the path integral as the limit of a Wiener regularized expression, the\nsemiclassical approximation leads to a continuous minimal action path with\njumps at the endpoints. The resulting semiclassical propagator is shown to\ncoincide with the exact quantum mechanical propagator. A non-linear\ntransformation of the angle variables allows for a determination of the\nsemiclassical path and the jumps without solving a boundary-value problem. The\nsemiclassical spin dynamics is thus readily amenable to numerical methods.",
    "arxiv_id": "quant-ph/9904102",
    "authors": [
      "Adrian Alscher",
      "Hermann Grabert"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/32/26/309",
    "journal_ref": "J.Phys.A32:4907-4919,1999",
    "title": "Semiclassical dynamics of a spin-1/2 in an arbitrary magnetic field",
    "url": "https://arxiv.org/abs/quant-ph/9904102"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bc70e809-00f9-40b6-901a-87b0063a55ab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}