{
  "annotation_id": "b2006f7e-28e4-4306-a8c6-8f19a4513c6e",
  "date_created": "2026-03-02T18:01:39.160000Z",
  "date_modified": "2026-03-02T18:01:39.160000Z",
  "file_hash": "c33ea78185150cf86b67a44c247be0d4f2ed8387085046319ab4bd54776a1aaa",
  "private": false,
  "record": {
    "abstract": "We consider the problem of existence of the diagonal representation for\noperators in the space of a family of generalized coherent states associated\nwith an unitary irreducible representation of a (compact) Lie group. We show\nthat necessary and sufficient conditions for the possibility of such a\nrepresentation can be obtained by combining Clebsch-Gordan theory and the\nreciprocity theorems associated with induced unitary group representation.\n  Applications to several examples involving $SU(2),$ $SU(3),$ and the\nHeisenberg-Weyl group are presented, showing that there are simple examples of\ngeneralized coherent states which do not meet these conditions. Our results are\nrelevant for phase-space description of quantum mechanics and quantum state\nreconstruction problems.",
    "arxiv_id": "quant-ph/0002070",
    "authors": [
      "N. Mukunda",
      "Arvind",
      "S. Chaturvedi",
      "R. Simon"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1559416",
    "journal_ref": "Journal of Mathematical Physics 44, 2479 (2003)",
    "title": "Generalised coherent states and the diagonal representation for   operators",
    "url": "https://arxiv.org/abs/quant-ph/0002070"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "56d60fea-fec7-4304-8e54-422230cb9cbf",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}