{
  "annotation_id": "e73df002-8a79-4844-830c-3a162a72fedf",
  "date_created": "2026-03-02T18:01:42.423000Z",
  "date_modified": "2026-03-02T18:01:42.423000Z",
  "file_hash": "10b9946e648ce9e8b9f1b68d22b2f45e00790e4d1bd8997c7121e48c740bfe64",
  "private": false,
  "record": {
    "abstract": "We study the valence electron of an alkaline atom or a general charged\nparticle with arbitrary spin and with magnetic moment moving in a rotating\nmagnetic field. By using a time-dependent unitary transformation, the\nSchr\\\"odinger equation with the time-dependent Hamiltonian can be reduced to a\nSchr\\\"odinger-like equation with a time-independent effective Hamiltonian.\nEigenstates of the effective Hamiltonian correspond to cyclic solutions of the\noriginal Schr\\\"odinger equation. The nonadiabatic geometric phase of a cyclic\nsolution can be expressed in terms of the expectation value of the component of\nthe total angular momentum along the rotating axis, regardless of whether the\nsolution is explicitly available. For the alkaline atomic electron and a strong\nmagnetic field, the eigenvalue problem of the effective Hamiltonian is\ncompletely solved, and the geometric phase turns out to be a linear combination\nof two solid angles. For a weak magnetic field, the same problem is solved\npartly. For a general charged particle, the problem is solved approximately in\na slowly rotating magnetic field, and the geometric phases are also calculated.",
    "arxiv_id": "quant-ph/0101008",
    "authors": [
      "Qiong-gui Lin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.63.012108",
    "journal_ref": "Phys. Rev. A 63 (2001) 012108",
    "title": "Charged particles in a rotating magnetic field",
    "url": "https://arxiv.org/abs/quant-ph/0101008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cbbb072e-717e-491e-810a-16e989aaeb0c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}