{
  "annotation_id": "e196b8bf-c2fe-4dc4-a5db-a8da37e78e01",
  "date_created": "2026-03-02T18:01:52.240000Z",
  "date_modified": "2026-03-02T18:01:52.240000Z",
  "file_hash": "05f02afbbf0113f45e7be2cb87fffb76a2f1f76f4f9325038734edc3f433f7d4",
  "private": false,
  "record": {
    "abstract": "Motivated by the duality of normalizable states and the presence of the\nquasi-parity quantum number q=+/-1 in PT symmetric (non-Hermitian) quantum\nmechanical potential models, the relation of PT symmetry and supersymmetry\n(SUSY) is studied. As an illustrative example the PT invariant version of the\nScarf II potential is presented, and it is shown that the \"bosonic\" Hamiltonian\nhas two different \"fermionic\" SUSY partner Hamiltonians (potentials) generated\nfrom the ground-state solutions with q=1 and q=-1. It is shown that the\n\"fermionic\" potentials cease to be PT invariant when the PT symmetry of the\n\"bosonic\" potential is spontaneously broken. A modified PT symmetry inspired\nSUSY construction is also discussed, in which the SUSY charge operators contain\nthe antilinear operator T. It is shown that in this scheme the \"fermionic\"\nHamitonians are just the complex conjugate of the original \"fermionic\"\nHamiltonians, and thus possess the same energy eigenvalues.",
    "arxiv_id": "quant-ph/0206013",
    "authors": [
      "G. Levai",
      "M. Znojil"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "J. Phys. A 35 (2002) 8793",
    "title": "The interplay of supersymmetry and PT symmetry in quantum mechanics: a   case study for the Scarf II potential",
    "url": "https://arxiv.org/abs/quant-ph/0206013"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aab139fa-4c75-4dad-9cee-ed458ad4a1e0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}