{
  "annotation_id": "590f0ba6-660a-4af8-91c2-c2df7bf55cef",
  "date_created": "2026-03-02T18:01:48.604000Z",
  "date_modified": "2026-03-02T18:01:48.604000Z",
  "file_hash": "0c806769586f2624fecb9430001e9d270d851f788c21f9fbbd065dd774e4d492",
  "private": false,
  "record": {
    "abstract": "We construct coherent states using sequences of combinatorial numbers such as\nvarious binomial and trinomial numbers, and Bell and Catalan numbers. We show\nthat these states satisfy the condition of the resolution of unity in a natural\nway. In each case the positive weight functions are given as solutions of\nassociated Stieltjes or Hausdorff moment problems, where the moments are the\ncombinatorial numbers.",
    "arxiv_id": "quant-ph/0111151",
    "authors": [
      "Karol A. Penson",
      "Allan I Solomon"
    ],
    "categories": [
      "quant-ph",
      "math.CO"
    ],
    "doi": "10.1142/9789812777850_0066",
    "title": "Coherent States from Combinatorial Sequences",
    "url": "https://arxiv.org/abs/quant-ph/0111151"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3d460d5a-867c-479d-af76-814616aa5faa",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}