{
  "annotation_id": "ca4ace90-dad9-4dd9-a12c-c3e35c9b1dc2",
  "date_created": "2026-03-02T18:01:35.762000Z",
  "date_modified": "2026-03-02T18:01:35.762000Z",
  "file_hash": "9843a7cb8f6de709eca072a110237f75280de6f4bc2ac6202975baecf3f999e3",
  "private": false,
  "record": {
    "abstract": "Within the algebraic framework of Hopf algebras, random walks and associated\ndiffusion equations (master equations) are constructed and studied for two\nbasic operator algebras of Quantum Mechanics i.e the Heisenberg-Weyl algebra\n(hw) and its q-deformed version hw_q. This is done by means of functionals\ndetermined by the associated coherent state density operators. The ensuing\nmaster equations admit solutions given by hw and hw_q-valued Appell systems.",
    "arxiv_id": "quant-ph/0001047",
    "authors": [
      "Demosthenes Ellinas"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1016/S0377-0427(00)00652-X",
    "title": "Quantum Diffusions and Appell Systems",
    "url": "https://arxiv.org/abs/quant-ph/0001047"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "13a8da93-1238-4aca-8148-29284cd2b466",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}