{
  "annotation_id": "f68eacba-1a43-4108-a263-7ad99a2b361b",
  "date_created": "2026-03-02T18:02:41.667000Z",
  "date_modified": "2026-03-02T18:02:41.667000Z",
  "file_hash": "0ba800107b5c28f410308df4a3e3760acc1f231d39721be609acb665ec5ab399",
  "private": false,
  "record": {
    "abstract": "We have constructed the coherent state of $U(N,1)$, which is an extension of\nthe Barut-Girardello (BG) coherent state of $SU(1,1)$, in our previous paper.\nHowever there is a restriction that the eigenvalue of the Casimir operator is\nnatural number. In this paper we construct the coherent state in the analytic\nrepresentation to overcome this restriction. Next we show that the measure of\nthe BG coherent state is not the symplectic induced measure.",
    "arxiv_id": "quant-ph/9708041",
    "authors": [
      "Kazuyuki Fujii",
      "Kunio Funahashi"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.532134",
    "journal_ref": "J.Math.Phys. 38 (1997) 4422-4434",
    "title": "Extension of the Barut-Girardello Coherent State and Path Integral II",
    "url": "https://arxiv.org/abs/quant-ph/9708041"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "245883e9-24af-49d6-887f-f94e60ed7da9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}