{
  "annotation_id": "52d899b4-abd1-4bdb-aeea-e5ff7fbe2fa5",
  "date_created": "2026-03-02T18:01:34.819000Z",
  "date_modified": "2026-03-02T18:01:34.819000Z",
  "file_hash": "3382a81784fdc36a540ac181dbcd5187cf3241de786f71a148d84dda3a45abbc",
  "private": false,
  "record": {
    "abstract": "The ladder operator formalism of a general quantum state for su(1,1) Lie\nalgebra is obtained. The state bears the generally deformed oscillator\nalgebraic structure. It is found that the Perelomov\u0027s coherent state is a\nsu(1,1) nonlinear coherent state. The expansion and the exponential form of the\nnonlinear coherent state are given. We obtain the matrix elements of the\nsu(1,1) displacement operator in terms of the hypergeometric functions and the\nexpansions of the displaced number states and Laguerre polynomial states are\nfollowed. Finally some interesting su(1,1) optical systems are discussed.",
    "arxiv_id": "quant-ph/0001002",
    "authors": [
      "Xiao-Guang Wang"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0217979200001084",
    "journal_ref": "Int. J. Mod. Phys. B. 14(10)(2000)1093-1104.",
    "title": "Coherent states, displaced number states and Laguerre polynomial states   for su(1,1) Lie algebra",
    "url": "https://arxiv.org/abs/quant-ph/0001002"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "08133601-f085-4267-9ee3-d67b89b98619",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}