{
  "annotation_id": "c057102a-79cb-4606-b9ee-45af9d0a593b",
  "date_created": "2026-03-02T18:01:55.460000Z",
  "date_modified": "2026-03-02T18:01:55.460000Z",
  "file_hash": "031a624608beb987116356248b1870318fbde26dc2c5c12adab558fe4b3b6c05",
  "private": false,
  "record": {
    "abstract": "Motivated by the observation that all known exactly solvable shape invariant\ncentral potentials are inter-related via point canonical transformations, we\ndevelop an algebraic framework to show that a similar mapping procedure is also\nexist between a class of non-central potentials. As an illustrative example, we\ndiscuss the inter-relation between the generalized Coulomb and oscillator\nsystems.",
    "arxiv_id": "quant-ph/0211132",
    "authors": [
      "Mehmet Kocak",
      "Ilker Zorba",
      "Bulent Gonul"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0217732302008125",
    "journal_ref": "Mod. Phys. Lett. A, Vol. 17, No. 32 (2002) pp. 2127-2135",
    "title": "Mapping of non-central potentials under point canonical transformations",
    "url": "https://arxiv.org/abs/quant-ph/0211132"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d8a170bd-89ff-4855-8bf1-84cda5a65dff",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}