{
  "annotation_id": "38fcd614-a8ae-4f2e-88bf-5961ce45b750",
  "date_created": "2026-03-02T18:01:42.323000Z",
  "date_modified": "2026-03-02T18:01:42.323000Z",
  "file_hash": "21d1bc8c8591ed0a61214e14622d06786719f554fad48babe9c8d25600fae93d",
  "private": false,
  "record": {
    "abstract": "We study a relativistic charged Dirac particle moving in a rotating magnetic\nfield. By using a time-dependent unitary transformation, the Dirac equation\nwith the time-dependent Hamiltonian can be reduced to a Dirac-like equation\nwith a time-independent effective Hamiltonian. Eigenstates of the effective\nHamiltonian correspond to cyclic solutions of the original Dirac equation. The\nnonadiabatic geometric phase of a cyclic solution can be expressed in terms of\nthe expectation value of the component of the total angular momentum along the\nrotating axis, regardless of whether the solution is explictly available. For a\nslowly rotating magnetic field, the eigenvalue problem of the effective\nHamiltonian is solved approximately and the geometric phases are calculated.\nThe same problem for a charged or neutral Dirac particle with an anomalous\nmagnetic moment is discussed briefly.",
    "arxiv_id": "quant-ph/0103012",
    "authors": [
      "Qiong-gui Lin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/34/9/307",
    "journal_ref": "J. Phys. A 34 (2001) 1903-1909",
    "title": "Dirac particles in a rotating magnetic field",
    "url": "https://arxiv.org/abs/quant-ph/0103012"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "283fc954-e97c-41a6-acd8-783f1c5a7249",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}