{
  "annotation_id": "f1b342d8-d78f-408d-be54-b3c53371186f",
  "date_created": "2026-03-02T18:02:40.649000Z",
  "date_modified": "2026-03-02T18:02:40.649000Z",
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  "record": {
    "abstract": "The coherent states for the quantum particle on the circle are introduced.\nThe Bargmann representation within the actual treatment provides the\nrepresentation of the algebra $[\\hat J,U]=U$, where $U$ is unitary, which is a\ndirect consequence of the Heisenberg algebra $[\\hat \\phi, \\hat J]=i$, but it is\nmore adequate for the study of the circlular motion.",
    "arxiv_id": "quant-ph/9801029",
    "authors": [
      "K. Kowalski",
      "J. Rembielinski",
      "L. C. Papaloucas"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/29/14/034",
    "journal_ref": "J.Phys.A29:4149-4167,1996",
    "title": "Coherent states for a quantum particle on a circle",
    "url": "https://arxiv.org/abs/quant-ph/9801029"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0dffe684-1616-4af8-8a4b-3ea91be35178",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}