{
  "annotation_id": "bbb93b90-b6eb-42af-8a9d-3d3a8c293221",
  "date_created": "2026-03-02T18:02:13.514000Z",
  "date_modified": "2026-03-02T18:02:13.514000Z",
  "file_hash": "da29d22c0ce9f1cccdd624ea498415de32213daf82c677a446212bd634cfc791",
  "private": false,
  "record": {
    "abstract": "A Hamiltonian is said to be quasi-exactly solvable (QES) if some of the\nenergy levels and the corresponding eigenfunctions can be calculated exactly\nand in closed form. An entirely new class of QES Hamiltonians having sextic\npolynomial potentials is constructed. These new Hamiltonians are different from\nthe sextic QES Hamiltonians in the literature because their eigenfunctions obey\nPT-symmetric rather than Hermitian boundary conditions. These new Hamiltonians\npresent a novel problem that is not encountered when the Hamiltonian is\nHermitian: It is necessary to distinguish between the parametric region of\nunbroken PT symmetry, in which all of the eigenvalues are real, and the region\nof broken PT symmetry, in which some of the eigenvalues are complex. The\nprecise location of the boundary between these two regions is determined\nnumerically using extrapolation techniques and analytically using WKB analysis.",
    "arxiv_id": "quant-ph/0501053",
    "authors": [
      "Carl M. Bender",
      "Maria Monou"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/38/10/009",
    "title": "New Quasi-Exactly Solvable Sextic Polynomial Potentials",
    "url": "https://arxiv.org/abs/quant-ph/0501053"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "50dc8036-e431-487d-bc11-7976cc347b36",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}