{
  "annotation_id": "578b9960-357f-44f5-8e1d-b035917f296c",
  "date_created": "2026-03-02T18:02:45.245000Z",
  "date_modified": "2026-03-02T18:02:45.245000Z",
  "file_hash": "c513006d8f7d5aa4b2e23617928d105c47d1c0f429a259b4904d745fd4d644d9",
  "private": false,
  "record": {
    "abstract": "A simple version of the q-deformed calculus is used to generate a pair of\nq-nonlocal, second-order difference operators by means of deformed counterparts\nof Darboux intertwining operators for zero factorization energy. These deformed\nnon-local operators may be considered as supersymmetric partners and their\nstructure contains contributions originating in both the Hermite operator and\nthe quantum harmonic oscillator operator. There are also extra $\\pm x$\ncontributions. The undeformed limit, in which all q-nonlocalities wash out,\ncorresponds to the usual supersymmetric pair of quantum mechanical harmonic\noscillator Hamiltonians. The more general case of negative factorization energy\nis briefly discussed as well",
    "arxiv_id": "quant-ph/9904046",
    "authors": [
      "H. C. Rosu"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Int. J. Theor. Phys. 39 (Sept. 2000) 2191-2196",
    "title": "Between Schroedinger and Hermite: Supersymmetric pair of q-deformed   non-local operators",
    "url": "https://arxiv.org/abs/quant-ph/9904046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e6b277ed-ad9d-41e0-9785-7a857624bcbe",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}