{
  "annotation_id": "6fd22614-e2c5-43d8-b744-5e4d51b316d1",
  "date_created": "2026-03-02T18:01:49.580000Z",
  "date_modified": "2026-03-02T18:01:49.580000Z",
  "file_hash": "180d6a41088f31a04032225d21701c48286a6533281d986776a7910e081b3329",
  "private": false,
  "record": {
    "abstract": "Extending the supersymmetric method proposed by Tkachuk to the complex\ndomain, we obtain general expressions for superpotentials allowing generation\nof quasi-exactly solvable PT-symmetric potentials with two known real\neigenvalues (the ground state and first-excited state energies). We construct\nexamples, namely those of complexified non-polynomial oscillators and of a\ncomplexified hyperbolic potential, to demonstrate how our scheme works in\npractice. For the former we provide a connection with the sl(2) method,\nillustrating the comparative advantages of the supersymmetric one.",
    "arxiv_id": "quant-ph/0201063",
    "authors": [
      "B. Bagchi",
      "C. Quesne"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0217732302006734",
    "journal_ref": "Mod.Phys.Lett. A17 (2002) 463-473",
    "title": "PT-symmetric non-polynomial oscillators and hyperbolic potential with   two known real eigenvalues in a SUSY framework",
    "url": "https://arxiv.org/abs/quant-ph/0201063"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0c32fc88-760a-40a5-9c47-0f1f7bf4bf33",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}