{
  "annotation_id": "95231035-f40a-485d-a272-c2b091d19bfc",
  "date_created": "2026-03-02T18:02:19.483000Z",
  "date_modified": "2026-03-02T18:02:19.483000Z",
  "file_hash": "7e2b2e52d081cc050de42f5408ad4ea709d0232f6f7e64f1f52a6d7997a64dd6",
  "private": false,
  "record": {
    "abstract": "Starting with a given generalized boson algebra U_\u003cq\u003e(h(1)) known as the\nbosonized version of the quantum super-Hopf U_q[osp(1/2)] algebra, we employ\nthe Hopf duality arguments to provide the dually conjugate function algebra\nFun_\u003cq\u003e(H(1)). Both the Hopf algebras being finitely generated, we produce a\nclosed form expression of the universal T matrix that caps the duality and\ngeneralizes the familiar exponential map relating a Lie algebra with its\ncorresponding group. Subsequently, using an inverse Mellin transform approach,\nthe coherent states of single-node systems subject to the U_\u003cq\u003e(h(1)) symmetry\nare found to be complete with a positive-definite integration measure.\nNonclassical coalgebraic structure of the U_\u003cq\u003e(h(1)) algebra is found to\ngenerate naturally entangled coherent states in bipartite composite systems.",
    "arxiv_id": "quant-ph/0509031",
    "authors": [
      "N. Aizawa",
      "R. Chakrabaarti",
      "J. Segar"
    ],
    "categories": [
      "quant-ph",
      "math.QA"
    ],
    "doi": "10.1088/0305-4470/38/41/012",
    "journal_ref": "J. Phys. A:Math. Gen. 38 (2005) 9007-9018",
    "title": "Generalized boson algebra and its entangled bipartite coherent states",
    "url": "https://arxiv.org/abs/quant-ph/0509031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b5e51240-d3e6-47d9-ae52-985ceeae0ee4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}