{
  "annotation_id": "400f7d3b-2a1f-49d7-8c6e-7a0959406cab",
  "date_created": "2026-03-02T18:01:56.128000Z",
  "date_modified": "2026-03-02T18:01:56.128000Z",
  "file_hash": "25f62e2fb1e874110353d51ec010e58f4c0947f12b5b095089a7d38a8f9bf3a7",
  "private": false,
  "record": {
    "abstract": "Conventional Bell and Stirling numbers arise naturally in the normal ordering\nof simple monomials in boson operators. By extending this process we obtain\ngeneralizations of these combinatorial numbers, defined as coherent state\nmatrix elements of arbitrary monomials, as well as the associated Dobinski\nrelations. These Bell-type numbers may be considered as power moments and give\nrise to positive measures which allow the explicit construction of new classes\nof coherent states.",
    "arxiv_id": "quant-ph/0211061",
    "authors": [
      "Karol A. Penson",
      "Allan I. Solomon"
    ],
    "categories": [
      "quant-ph",
      "math.CO"
    ],
    "doi": "10.1142/9789812704474_0005",
    "title": "Coherent State Measures and the Extended Dobinski relations",
    "url": "https://arxiv.org/abs/quant-ph/0211061"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3d97a5eb-e87a-42b2-85dc-0a1723f4cb43",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}