{
  "annotation_id": "e82ceb9f-6207-4591-9fd4-09015806f988",
  "date_created": "2026-03-02T18:01:49.001000Z",
  "date_modified": "2026-03-02T18:01:49.001000Z",
  "file_hash": "d7f621acc3750f4681630c3a84659de504bd354d148dbfd9e5928919c5fd6f0e",
  "private": false,
  "record": {
    "abstract": "Quantum systems with adiabatic classical parameters are widely studied, e.g.,\nin the modern holonomic quantum computation. We here provide complete geometric\nquantization of a Hamiltonian system with time-dependent parameters, without\nthe adiabatic assumption. A Hamiltonian of such a system is affine in the\ntemporal derivative of parameter functions. This leads to the geometric Berry\nfactor phenomena.",
    "arxiv_id": "quant-ph/0112011",
    "authors": [
      "G. Giachetta",
      "L. Mangiarotti",
      "G. Sardanashvily"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.1477262",
    "title": "Geometric quantization of mechanical systems with time-dependent   parameters",
    "url": "https://arxiv.org/abs/quant-ph/0112011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d11ec3cc-8c6f-4227-85fc-761a8621397f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}