{
  "annotation_id": "244ad0d7-dc17-4719-9440-27e507f68361",
  "date_created": "2026-03-02T18:02:45.247000Z",
  "date_modified": "2026-03-02T18:02:45.247000Z",
  "file_hash": "5fad0eb6ecde40e71eeaed99860bf61ecec6771bfcb1670e51ef045926ba8893",
  "private": false,
  "record": {
    "abstract": "New types of irreducible second order Darboux transformations for the one\ndimensional Schroedinger equation are described. The main feature of such\ntransformations is that the transformation functions have the eigenvalues\ngrater then the ground state energy of the initial (or reference) Hamiltonian.\nWhen such a transformation is presented as a chain of two first order\ntransformations, an intermediate potential is singular and therefore\nintermediate Hamiltonian can not be Hermitian while the final potential is\nregular and the final Hamiltonian is Hermitian. Second derivative\nsupersymmetric quantum mechanical model based on a transformation of this kind\nexhibits properties inherent to models with exact and broken supersymmetry at\nonce.",
    "arxiv_id": "quant-ph/9904009",
    "authors": [
      "Boris F. Samsonov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/S0375-9601(99)00736-7",
    "journal_ref": "Phys.Lett. A263 (1999) 274-280",
    "title": "New possibilities for supersymmetry breakdown in quantum mechanics and   second order irreducible Darboux transformations",
    "url": "https://arxiv.org/abs/quant-ph/9904009"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c40f49fd-e91c-47bd-89ff-74a65b7543ae",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}