{
  "annotation_id": "474be703-6851-4ebf-b3be-f790c370f70f",
  "date_created": "2026-03-02T18:01:38.145000Z",
  "date_modified": "2026-03-02T18:01:38.145000Z",
  "file_hash": "971c4f7875ef75639a394319c0d8b150556c6343e8fa36db266be6c17623e4a1",
  "private": false,
  "record": {
    "abstract": "We show that the quasi-exactly solvable eigenvalues of the Schr\\\"odinger\nequation for the PT-invariant potential $V(x) = -(\\zeta \\cosh 2x -iM)^2$ are\ncomplex conjugate pairs in case the parameter M is an even integer while they\nare real in case M is an odd integer. We also show that whereas the PT symmetry\nis spontaneously broken in the former case, it is unbroken in the latter case.",
    "arxiv_id": "quant-ph/0006126",
    "authors": [
      "Avinash Khare",
      "Bhabani Prasad Mandal"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1016/S0375-9601(00)00409-6",
    "journal_ref": "Phys.Lett. A272 (2000) 53-56",
    "title": "A PT-Invariant Potential With Complex QES Eigenvalues",
    "url": "https://arxiv.org/abs/quant-ph/0006126"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0f3a0874-dcf4-4923-9578-8dd94f095089",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}