{
  "annotation_id": "b619287f-3a81-4b4f-b7e2-5e1c46c9db68",
  "date_created": "2026-03-02T18:02:48.590000Z",
  "date_modified": "2026-03-02T18:02:48.590000Z",
  "file_hash": "0bf2c40e1ce8fdfcc66a1cd04f28153c44f791a889dcbf43672b5505235486d3",
  "private": false,
  "record": {
    "abstract": "This work is devoted to the investigation of the quantum mechanical systems\non the two dimensional hyperboloid which admit separation of variables in at\nleast two coordinate systems. Here we consider two potentials introduced in a\npaper of C.P.Boyer, E.G.Kalnins and P.Winternitz, which haven\u0027t yet been\nstudied. We give an example of an interbasis expansion and work out the\nstructure of the quadratic algebra generated by the integrals of motion.",
    "arxiv_id": "quant-ph/9907037",
    "authors": [
      "E. G. Kalnins",
      "W. Miller Jr",
      "Ye. M. Hakobyan",
      "G. S. Pogosyan"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.532864",
    "journal_ref": "J.Math.Phys. 40 (1999) 2291-2306",
    "title": "Superintegrability on the two dimensional hyperboloid II",
    "url": "https://arxiv.org/abs/quant-ph/9907037"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0e265c5d-2767-4abe-9d6d-cfd093ecaca0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}