{
  "annotation_id": "cb944e7a-ecf2-4084-8011-c82510f72298",
  "date_created": "2026-03-02T18:02:44.122000Z",
  "date_modified": "2026-03-02T18:02:44.122000Z",
  "file_hash": "8944f1e67c256585dd9b7a9ceb4f793e034f6bd623f2f22f380d7bf33cae1c34",
  "private": false,
  "record": {
    "abstract": "General first- and higher-order intertwining relations between non-stationary\none-dimensional Schr\\\"odinger operators are introduced. For the first-order\ncase it is shown that the intertwining relations imply some hidden symmetry\nwhich in turn results in a $R$-separation of variables. The Fokker-Planck and\ndiffusion equation are briefly considered. Second-order intertwining operators\nare also discussed within a general approach. However, due to its complicated\nstructure only particular solutions are given in some detail.",
    "arxiv_id": "quant-ph/9810033",
    "authors": [
      "F. Cannata",
      "M. Ioffe",
      "G. Junker",
      "D. Nishnianidze"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/32/19/309",
    "journal_ref": "J.Phys.A32:3583-3598,1999",
    "title": "Intertwining relations of non-stationary Schr\\\"odinger operators",
    "url": "https://arxiv.org/abs/quant-ph/9810033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "eea5cbbb-d377-45d6-b893-53c3cd04ab84",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}