{
  "annotation_id": "06565f92-b232-4e1b-9f52-ba4af6eb0314",
  "date_created": "2026-03-02T18:02:51.386000Z",
  "date_modified": "2026-03-02T18:02:51.386000Z",
  "file_hash": "ead6de6175117ee8f9ce92cabc98e71ca0c56b475896f4eed60b58236aa7eff2",
  "private": false,
  "record": {
    "abstract": "Let group generators having finite-dimensional representation be realized as\nHermitian linear differential operators without nhomogeneous terms as takes\nplace, for example, for the SO(n) group. Then orresponding group Hamiltonians\ncontaining terms linear in generators (along with quadratic ones) give rise to\nquasi-exactly solvable models with a magnetic field in a curved space. In\nparticular, in the two-dimensional case such models are generated by quantum\ntops. In the three-dimensional one for the SO(4) Hamiltonian with an isotropic\nquadratic part the manifold within which a quantum particle moves has the\ngeometry of the Einstein universe.",
    "arxiv_id": "solv-int/9812031",
    "authors": [
      "O. B. Zaslavskii"
    ],
    "categories": [
      "solv-int",
      "hep-th",
      "math-ph",
      "math.MP",
      "math.SP",
      "nlin.SI",
      "quant-ph"
    ],
    "journal_ref": "`Group22: Proceedings of the XXII International Colloquium on\n  Group Theoretical Methods in Physics\u0027, Eds S P Corney, R Delbourgo and P D\n  Jarvis (Cambridge, MA: International Press) 1998, pp.234-238",
    "title": "Two- and Many-Dimensional Quasi-Exactly Solvable Models With An   Inhomogeneous Magnetic Field",
    "url": "https://arxiv.org/abs/solv-int/9812031"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4f4e4aa0-fdb3-43ae-8e21-2ed26d4c9766",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}