{
  "annotation_id": "32a47c43-5f2d-4699-98db-b226dbfc4664",
  "date_created": "2026-03-02T18:02:43.869000Z",
  "date_modified": "2026-03-02T18:02:43.869000Z",
  "file_hash": "330b25b2ae4df101a4ef1bbba31688030716e175a37f35affcca53c0790e8d49",
  "private": false,
  "record": {
    "abstract": "We extend the standard intertwining relations used in Supersymmetrical (SUSY)\nQuantum Mechanics which involve real superpotentials to complex\nsuperpotentials. This allows to deal with a large class of non-hermitean\nHamiltonians and to study in general the isospectrality between complex\npotentials. In very specific cases we can construct in a natural way\n\"quasi-complex\" potentials which we define as complex potentials having a\nglobal property such as to lead to a Hamiltonian with real spectrum. We also\nobtained a class of complex transparent potentials whose Hamiltonian can be\nintertwined to a free Hamiltonian. We provide a variety of examples both for\nthe radial problem (half axis) and for the standard one-dimensional problem\n(the whole axis), including remarks concerning scattering problems.",
    "arxiv_id": "quant-ph/9806019",
    "authors": [
      "A. A. Andrianov",
      "F. Cannata",
      "J. -P. Dedonder",
      "M. V. Ioffe"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "nlin.SI",
      "solv-int"
    ],
    "doi": "10.1142/S0217751X99001342",
    "journal_ref": "Int.J.Mod.Phys. A14 (1999) 2675-2688",
    "title": "SUSY Quantum Mechanics with Complex Superpotentials and Real Energy   Spectra",
    "url": "https://arxiv.org/abs/quant-ph/9806019"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f213c363-23fa-4c1c-8e07-9dc79d48b598",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}