{
  "annotation_id": "753bca73-b982-4af7-bcef-3c26802b5d00",
  "date_created": "2026-03-02T18:01:38.962000Z",
  "date_modified": "2026-03-02T18:01:38.962000Z",
  "file_hash": "0d87a346322e2a45afc14a8dd75f1482e7db2bd85346bfa4e0ad61027b747175",
  "private": false,
  "record": {
    "abstract": "Comparison between the exact value of the spectral zeta function,\n$Z_{H}(1)=5^{-6/5}[3-2\\cos(\\pi/5)]\\Gamma^2(1/5)/\\Gamma(3/5)$, and the results\nof numeric and WKB calculations supports the conjecture by Bessis that all the\neigenvalues of this PT-invariant hamiltonian are real. For one-dimensional\nSchr\\\"odinger operators with complex potentials having a monotonic imaginary\npart, the eigenfunctions (and the imaginary parts of their logarithmic\nderivatives) have no real zeros.",
    "arxiv_id": "quant-ph/0002056",
    "authors": [
      "G. Andrei Mezincescu"
    ],
    "categories": [
      "quant-ph",
      "cond-mat",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1088/0305-4470/33/27/308",
    "journal_ref": "J.Phys.A33:4911-4916,2000",
    "title": "Some properties of eigenvalues and eigenfunctions of the cubic   oscillator with imaginary coupling constant",
    "url": "https://arxiv.org/abs/quant-ph/0002056"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aa547d87-c5ba-4591-bf8a-22022e3bcb5a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}