{
  "annotation_id": "20a5bf30-80c3-405c-8aea-6cdd15f2ebec",
  "date_created": "2026-03-02T18:02:00.222000Z",
  "date_modified": "2026-03-02T18:02:00.222000Z",
  "file_hash": "08fe59fc0f09c73d0f2424d21824c189908abb1e826686e2606bb8047d8fa6c8",
  "private": false,
  "record": {
    "abstract": "A neutral particle with general spin and magnetic moment moving in an\narbitrarily varying magnetic field is studied. The time evolution operator for\nthe Schr\\\"odinger equation can be obtained if one can find a unit vector that\nsatisfies the equation obeyed by the mean of the spin operator. There exist at\nleast $2s+1$ cyclic solutions in any time interval. Some particular time\ninterval may exist in which all solutions are cyclic. The nonadiabatic\ngeometric phase for cyclic solutions generally contains extra terms in addition\nto the familiar one that is proportional to the solid angle subtended by the\nclosed trace of the spin vector.",
    "arxiv_id": "quant-ph/0307099",
    "authors": [
      "Qiong-Gui Lin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/24/315",
    "journal_ref": "J. Phys. A 36 (2003) 6799-6806",
    "title": "Time evolution, cyclic solutions and geometric phases for general spin   in an arbitrarily varying magnetic field",
    "url": "https://arxiv.org/abs/quant-ph/0307099"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "62dca21e-6f3d-47d8-8a11-781ac1701191",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}