{
  "annotation_id": "27abc05e-aab1-42d1-a78a-daa56d255760",
  "date_created": "2026-03-02T18:02:20.749000Z",
  "date_modified": "2026-03-02T18:02:20.749000Z",
  "file_hash": "e15b402caaeeb29514e22c31ffcc663aa4c4ff8422d2ca0083aa7ebcd814af4f",
  "private": false,
  "record": {
    "abstract": "We investigate properties of exponential operators preserving the particle\nnumber using combinatorial methods developed in order to solve the boson normal\nordering problem. In particular, we apply generalized Dobinski relations and\nmethods of multivariate Bell polynomials which enable us to understand the\nmeaning of perturbation-like expansions of exponential operators. Such\nexpansions, obtained as formal power series, are everywhere divergent but the\nPade summation method is shown to give results which very well agree with exact\nsolutions got for simplified quantum models of the one mode bosonic systems.",
    "arxiv_id": "quant-ph/0510080",
    "authors": [
      "P. Blasiak",
      "A. Gawron",
      "A. Horzela",
      "K. A. Penson",
      "A. I. Solomon"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1742-6596/36/1/005",
    "journal_ref": "J. Phys.: Conf. Ser. 36: 22-27, 2006",
    "title": "Exponential Operators, Dobinski Relations and Summability",
    "url": "https://arxiv.org/abs/quant-ph/0510080"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "81351c31-a90a-4847-94e8-75be158e8c56",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}