{
  "annotation_id": "43da2e29-9723-46a7-907e-4737656d979c",
  "date_created": "2026-03-02T18:01:45.978000Z",
  "date_modified": "2026-03-02T18:01:45.978000Z",
  "file_hash": "d3373c1f086e296bbd75c07424ea054066bb822557a9318be14031af001651a1",
  "private": false,
  "record": {
    "abstract": "We consider Hamiltonians, which are even polynomials of the forth order with\nthe respect to Bose operators. We find subspaces, preserved by the action of\nHamiltonian These subspaces, being finite-dimensional, include, nonetheless,\nstates with an \\QTR{it}{infinite} number of quasi-particles, corresponding to\nthe original Bose operators. The basis functions look rather simple in the\ncoherent state representation and are expressed in terms of the degenerate\nhypergeometric function with respect to the complex variable labeling the\nrepresentation. In some particular degenerate cases they turn (up to the power\nfactor) into the trigonometric or hyperbolic functions, Bessel functions or\ncombinations of the exponent and Hermit polynomials. We find explicitly the\nrelationship between coefficients at different powers of Bose operators that\nensure quasi-exact solvability of Hamiltonian.",
    "arxiv_id": "quant-ph/0106134",
    "authors": [
      "S. N. Dolya",
      "O. B. Zaslavskii"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/34/30/307",
    "journal_ref": "J.Phys.A34:5955-5968,2001",
    "title": "Quasi-exactly solvable quartic Bose Hamiltonians",
    "url": "https://arxiv.org/abs/quant-ph/0106134"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2eb069ce-10c7-4d88-ae55-7b1a9f81dc45",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}