{
  "annotation_id": "d43e39e2-e3a1-4610-8774-26303a2f0070",
  "date_created": "2026-03-02T18:01:42.647000Z",
  "date_modified": "2026-03-02T18:01:42.647000Z",
  "file_hash": "fb8a3484d6aa8cf7eefb42b62ed4aab2cafcc528ac2a76dc21d5f4bc2c02843f",
  "private": false,
  "record": {
    "abstract": "In the framework of SUSYQM extended to deal with non-Hermitian Hamiltonians,\nwe analyze three sets of complex potentials with real spectra, recently derived\nby a potential algebraic approach based upon the complex Lie algebra sl(2, C).\nThis extends to the complex domain the well-known relationship between SUSYQM\nand potential algebras for Hermitian Hamiltonians, resulting from their common\nlink with the factorization method and Darboux transformations. In the same\nframework, we also generate for the first time a pair of elliptic partner\npotentials of Weierstrass $\\wp$ type, one of them being real and the other\nimaginary and PT symmetric. The latter turns out to be quasiexactly solvable\nwith one known eigenvalue corresponding to a bound state. When the Weierstrass\nfunction degenerates to a hyperbolic one, the imaginary potential becomes PT\nnon-symmetric and its known eigenvalue corresponds to an unbound state.",
    "arxiv_id": "quant-ph/0102093",
    "authors": [
      "B. Bagchi",
      "S. Mallik",
      "C. Quesne"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1142/S0217751X01004153",
    "journal_ref": "Int.J.Mod.Phys. A16 (2001) 2859-2872",
    "title": "Generating Complex Potentials with Real Eigenvalues in Supersymmetric   Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0102093"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "33068e91-7c1f-4c56-a112-8670e6d81fb8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}