{
  "annotation_id": "6512821f-eb50-445f-b0ee-2bd5b612af40",
  "date_created": "2026-03-02T18:01:39.262000Z",
  "date_modified": "2026-03-02T18:01:39.262000Z",
  "file_hash": "bdfcd0280ae8588ec66135dcd92243b445a1c277ca59a98b4522cce16d62f07e",
  "private": false,
  "record": {
    "abstract": "We extend the notion of quasi-exactly solvable (QES) models from potential\nones and differential equations to Bose systems. We obtain conditions under\nwhich algebraization of the part of the spectrum occurs. In some particular\ncases simple exact expressions for several energy levels of an anharmonic Bose\noscillator are obtained explicitly. The corresponding results do not exploit\nperturbation theory and include strong coupling regime. A generic Hamiltonian\nunder discussion cannot, in contrast to QES potential models, be expressed as a\npolynomial in generators of $sl_{2}$ algebra. The suggested approach is\nextendable to many-particle Bose systems with interaction.",
    "arxiv_id": "quant-ph/0009071",
    "authors": [
      "S. N. Dolya",
      "O. B. Zaslavskii"
    ],
    "categories": [
      "quant-ph",
      "hep-ph",
      "hep-th",
      "math-ph",
      "math.MP",
      "nlin.SI",
      "physics.comp-ph"
    ],
    "doi": "10.1088/0305-4470/33/41/102",
    "journal_ref": "J.Phys.A33:L369-L374,2000",
    "title": "Quantum anharmonic oscillator and quasi-exactly solvable Bose systems",
    "url": "https://arxiv.org/abs/quant-ph/0009071"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bdd8ff82-d99e-4bda-a10b-4dc023c77668",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}