{
  "annotation_id": "57202b8d-040d-4dd1-8898-e69bee990313",
  "date_created": "2026-03-02T18:01:27.881000Z",
  "date_modified": "2026-03-02T18:01:27.881000Z",
  "file_hash": "447e265253d77700892dca2e93687f0ddaeb114376b3c3716201d49031b23f0b",
  "private": false,
  "record": {
    "abstract": "It is proved that quasi-exactly soluble potentials corresponding to an\noscillator with harmonic, quartic and sextic terms, for which the $n+1$ lowest\nlevels of a given parity can be determined exactly, may be approximated by WKB\nequivalent potentials corresponding to deformed anharmonic oscillators of\nSU$_q$(1,1) symmetry, which have been used for the description of vibrational\nspectra of diatomic molecules. This connection allows for the immediate\napproximate determination of the levels of the same parity lying above the\nlowest $n+1$ known levels, as well as of all levels of the opposite parity.\nSuch connections are not possible in the cases of the q-deformed oscillator,\nthe Q-deformed oscillator, and the modified P\\\"oschl-Teller potential with\nSU(1,1) symmetry.",
    "arxiv_id": "q-alg/9605001",
    "authors": [
      "Dennis Bonatsos",
      "C. Daskaloyannis",
      "H. A. Mavromatis"
    ],
    "categories": [
      "q-alg",
      "math.QA"
    ],
    "title": "Quasi-Exactly Soluble Potentials and Deformed Oscillators",
    "url": "https://arxiv.org/abs/q-alg/9605001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "a8e4090a-8b6e-4acf-a853-8fb0ca044ad7",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}