{
  "annotation_id": "f8784b3d-10a5-44c7-9d13-96f76ef6f1aa",
  "date_created": "2026-03-02T18:01:28.531000Z",
  "date_modified": "2026-03-02T18:01:28.531000Z",
  "file_hash": "8886628335f350fd965ea20d1765b3528ce2843b4d7a080092caf042fd826f38",
  "private": false,
  "record": {
    "abstract": "We prove that Bargmann representations exist for some deformed harmonic\noscillators that admit non-Fock representations. In specific cases, we\nexplicitly obtain the resolution of the identity in terms of a true integral on\nthe complex plane. We prove on explicit examples that Bargmann representations\ncannot always be found, particularly when the coherent states do not exist in\nthe whole complex plane.",
    "arxiv_id": "q-alg/9703009",
    "authors": [
      "M. Irac-Astaud",
      "G. Rideau"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Bargmann representation for some deformed harmonic oscillators with   non-Fock representation",
    "url": "https://arxiv.org/abs/q-alg/9703009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4112a112-98be-4517-9dee-b77454056ea6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}