{
  "annotation_id": "d9831393-b077-4982-94b9-ec4c57f7942d",
  "date_created": "2026-03-02T18:01:39.222000Z",
  "date_modified": "2026-03-02T18:01:39.222000Z",
  "file_hash": "08bf497d8922a3f9f53097f2c8d4344e394c9bccba9e3ee2a3f663c05d051e10",
  "private": false,
  "record": {
    "abstract": "We show that at least the quasi-exactly solvable eigenvalues of the\nSchr\\\"odinger equation with the potential $V(x) = -(\\zeta \\cosh 2x -iM)^2$ as\nwell as the periodic potential $V(x) = (\\zeta \\cos 2\\theta -iM)^2$ are real for\nthe PT-invariant non-Hermitian potentials in case the parameter $M$ is any odd\ninteger. We further show that the norm as well as the weight functions for the\ncorresponding weak orthogonal polynomials are also real.",
    "arxiv_id": "quant-ph/0004019",
    "authors": [
      "Avinash Khare",
      "Bhabani Prasad Mandal"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "title": "PT invariant Non-Hermitian Potentials with Real QES Eigenvalues",
    "url": "https://arxiv.org/abs/quant-ph/0004019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c23f17e5-6374-4ade-8dfb-0d247dbf5e12",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}