{
  "annotation_id": "2289be11-9693-41f4-aa4d-46615c7b6ef9",
  "date_created": "2026-03-02T18:02:38.189000Z",
  "date_modified": "2026-03-02T18:02:38.189000Z",
  "file_hash": "d710495c9ba94d29b4d201f96f289c7d523eefbb9c98378fd4b2189492bafb9d",
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  "record": {
    "abstract": "An exact analogue of the method of averaging in classical mechanics is\nconstructed for self--adjoint operators. It is shown to be completely\nequivalent to the usual Rayleigh--Schr\\\"odinger perturbation theory but gives\nthe sums over intermediate states in closed form expressions. The anharmonic\noscillator and the Henon--Heiles system are treated as examples to illustrate\nthe quantum averaging method.",
    "arxiv_id": "quant-ph/9412010",
    "authors": [
      "Wolfgang Scherer"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/27/24/028",
    "journal_ref": "J.Phys. A27 (1994) 8231-8246",
    "title": "Quantum Averaging I: Poincar\\\u0027e--von Zeipel is Rayleigh--Schr\\\"odinger",
    "url": "https://arxiv.org/abs/quant-ph/9412010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c8870fb2-9791-4b30-ba02-1d2995662482",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}