{
  "annotation_id": "c57d8426-0807-4b39-be62-5a3c9b0ae52d",
  "date_created": "2026-03-02T18:01:25.184000Z",
  "date_modified": "2026-03-02T18:01:25.184000Z",
  "file_hash": "0c39324cf4ed6d0f8991f03dd46f057dcb9598d7d15fb820b49e516942fd6343",
  "private": false,
  "record": {
    "abstract": "Both the classical and quantum approximate invariants are found for the\nnonlinar r time-dependent oscillator of sextupole transverse betatron dynamics.\nThey are represented in terms of the elements of a Lie algebra associated with\npowers of phase space coordinates. The first order quantum correction to the\nclassical quasi-invariant is found.",
    "arxiv_id": "physics/9908013",
    "authors": [
      "T. Garavaglia"
    ],
    "categories": [
      "physics.acc-ph",
      "quant-ph"
    ],
    "title": "The quantum quasi-invariant of the time-dependent nonlinear oscillator   and application to betatron dynamics",
    "url": "https://arxiv.org/abs/physics/9908013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "13ed5f17-062a-485a-bcf8-84f84c7a3984",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}