{
  "annotation_id": "66930d7a-cd79-4481-ad21-a12eb082f6da",
  "date_created": "2026-03-02T18:02:43.939000Z",
  "date_modified": "2026-03-02T18:02:43.939000Z",
  "file_hash": "3e221825c1461223b64635b8c90eb309c0d88f7a40c3db7755d2e59f6d855231",
  "private": false,
  "record": {
    "abstract": "We present a version of q-deformed calculus based on deformed counterparts of\nDarboux intertwining operators. The case in which the deformed transformation\nfunction is of the vacuum type is detailed, but the extension to counterparts\nof excited states used as Darboux transformation functions is also formally\ndiscussed. The method leads to second-order Fokker-Planck-like deformed\noperators which may be considered as supersymmetric partners, though for a sort\nof q-deformed open systems, i.e., those possessing q nonlocal drift terms,\npotential part, as well as q-spreaded vacuum fluctuations. The undeformed limit\ncorresponds to the conservative case, since all q nonlocalities wash out. The\nprocedure is applied to the x^{-2} singular oscillator, for which we also\npresent a formal q generalization of the Bagrov-Samsonov coherent states",
    "arxiv_id": "quant-ph/9808021",
    "authors": [
      "H. C. Rosu",
      "C. Castro"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(99)00846-4",
    "journal_ref": "Phys.Lett. A264 (2000) 350-356",
    "title": "q deformation by intertwining with application to the singular   oscillator",
    "url": "https://arxiv.org/abs/quant-ph/9808021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5cf54a46-44ea-4593-8f16-c3cc603249b3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}