{
  "annotation_id": "0e905134-b7e5-4ef4-9469-3ef4bb3b97fd",
  "date_created": "2026-03-02T18:02:13.216000Z",
  "date_modified": "2026-03-02T18:02:13.216000Z",
  "file_hash": "5d7d4a8cf0f3dfeae36510f163d2c26217f4ba1bb80cbf5cd6a5a504f3890ed4",
  "private": false,
  "record": {
    "abstract": "We review the higher-order supersymmetric quantum mechanics (H-SUSY QM),\nwhich involves differential intertwining operators of order greater than one.\nThe iterations of first-order SUSY transformations are used to derive in a\nsimple way the higher-order case. The second order technique is addressed\ndirectly, and through this approach unexpected possibilities for designing\nspectra are uncovered. The formalism is applied to the harmonic oscillator: the\ncorresponding H-SUSY partner Hamiltonians are ruled by polynomial Heisenberg\nalgebras which allow a straight construction of the coherent states.",
    "arxiv_id": "quant-ph/0502098",
    "authors": [
      "David J Fernandez C",
      "Nicolas Fernandez-Garcia"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1063/1.1853203",
    "journal_ref": "AIP Conf.Proc.744:236-273,2005",
    "title": "Higher-order supersymmetric quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0502098"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2f0645e4-0cf6-41a2-a242-11c6ee489dcd",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}