{
  "annotation_id": "eb9482d3-bf68-45e3-aed3-3344d542f71d",
  "date_created": "2026-03-02T18:01:28.822000Z",
  "date_modified": "2026-03-02T18:01:28.822000Z",
  "file_hash": "c72db1a150962c8deb3b4d5baffb4bbcfca7cc3204de2f8a40fd1a33b9a5e617",
  "private": false,
  "record": {
    "abstract": "The non-standard quantum deformation of the (trivially) extended sl(2,R)\nalgebra is used to construct a new quantum deformation of the two-photon\nalgebra h_6 and its associated quantum universal R-matrix. A deformed one-boson\nrepresentation for this algebra is deduced and applied to construct a first\norder deformation of the differential equation that generates the two-photon\nalgebra eigenstates in Quantum Optics. On the other hand, the isomorphism\nbetween h_6 and the (1+1) Schr\\\"odinger algebra leads to a new quantum\ndeformation for the latter for which a differential-difference realization is\npresented. From it, a time discretization of the heat-Schr\\\"odinger equation is\nobtained and the quantum Schr\\\"odinger generators are shown to be symmetry\noperators.",
    "arxiv_id": "q-alg/9709009",
    "authors": [
      "Angel Ballesteros",
      "Francisco J. Herranz",
      "Preeti Parashar"
    ],
    "categories": [
      "q-alg",
      "math.QA",
      "quant-ph"
    ],
    "doi": "10.1142/S0217732398001315",
    "journal_ref": "Mod. Phys. Lett. A13 (1998) 1241-1252",
    "title": "Quantum two-photon algebra from non-standard U_z(sl(2,R)) and a discrete   time Schr\\\"odinger equation",
    "url": "https://arxiv.org/abs/q-alg/9709009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "37f84d35-b2fc-4f31-b30f-ab3e3ee31a64",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}