{
  "annotation_id": "c306d82a-17d4-4caf-a991-482afa8c6c42",
  "date_created": "2026-03-02T18:01:52.933000Z",
  "date_modified": "2026-03-02T18:01:52.933000Z",
  "file_hash": "71657d274f3d17238d82ca534a11f2cd85ac299a08a799f827101a54ea252306",
  "private": false,
  "record": {
    "abstract": "We generalize Schwinger boson representation of SU(2) algebra to SU(N) and\ndefine coherent states of SU(N) using $2(2^{N-1}-1)$ bosonic harmonic\noscillator creation and annihilation operators. We give an explicit\nconstruction of all (N-1) Casimirs of SU(N) in terms of these creation and\nannihilation operators. The SU(N) coherent states belonging to any irreducible\nrepresentations of SU(N) are labelled by the eigenvalues of the Casimir\noperators and are characterized by (N-1) complex orthonormal vectors describing\nthe SU(N) manifold. The coherent states provide a resolution of identity,\nsatisfy the continuity property, and possess a variety of group theoretic\nproperties.",
    "arxiv_id": "quant-ph/0206005",
    "authors": [
      "Manu Mathur",
      "H. S. Mani"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.1513651",
    "journal_ref": "J.Math.Phys. 43 (2002) 5351",
    "title": "SU(N) Coherent States",
    "url": "https://arxiv.org/abs/quant-ph/0206005"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "53e5d604-df8d-4048-ba3e-ec008cdf09ab",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}