{
  "annotation_id": "728ce926-73ab-4654-a12d-4e9e497e7043",
  "date_created": "2026-03-02T18:02:27.351000Z",
  "date_modified": "2026-03-02T18:02:27.351000Z",
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  "record": {
    "abstract": "Discrete PT-symmetric square wells are studied. Their wave functions are\nfound proportional to classical Tshebyshev polynomials of complex argument. The\ncompact secular equations for energies are derived giving the real spectra in\ncertain intervals of non-Hermiticity strengths Z. It is amusing to notice that\nalthough the known square well re-emerges in the usual continuum limit, a twice\nas rich, upside-down symmetric spectrum is exhibited by all its present\ndiscretized predecessors.",
    "arxiv_id": "quant-ph/0605209",
    "authors": [
      "Miloslav Znojil"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/39/32/S23",
    "journal_ref": "J.Phys. A39 (2006) 10247",
    "title": "Matching method and exact solvability of discrete PT-symmetric square   wells",
    "url": "https://arxiv.org/abs/quant-ph/0605209"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f5d064ff-2bb9-4279-820e-501a81f8def3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}