{
  "annotation_id": "17eb678b-bedc-4e8d-8c63-d5a4d2457ad6",
  "date_created": "2026-03-02T18:01:52.866000Z",
  "date_modified": "2026-03-02T18:01:52.866000Z",
  "file_hash": "f200b6891447401ade4cfc74316e66b23976e6aec309f578c0d8a73270cfe13f",
  "private": false,
  "record": {
    "abstract": "The $so(2,1)$ analysis for the bound state sector of the hypergeometric\nNatanzon potentials (HNP) is extended to the scattering sector by considering\nthe continuous series of the $so(2,1)$ algebra. As a result a complete\nalgebraic treatment of the HNP by means of the $so(2,1)$ algebra is achieved.\n  In the bound state sector we discuss a set of satellite potentials which\narises from the action of the $so(2,1)$ generators. It is shown that the set of\nnew potentials are not related to the one obtained by means of SUSYQM or of the\npotential algebra approach using the $so(2,2)$ algebra.",
    "arxiv_id": "quant-ph/0209156",
    "authors": [
      "Sebastian Salamo"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "New results concerning the $so(2,1)$ treatment for the hypergeometric   Natanzon potentials",
    "url": "https://arxiv.org/abs/quant-ph/0209156"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "93ce18d6-fd96-49de-aac7-e702c49ad230",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}