{
  "annotation_id": "2db8ce26-cb1d-4d8b-830e-550b31c3b9e9",
  "date_created": "2026-03-02T18:01:42.192000Z",
  "date_modified": "2026-03-02T18:01:42.192000Z",
  "file_hash": "bf0d9f6387dc7e404c0cd6db2458c3f25dcead93bc4d876256787b5be108a823",
  "private": false,
  "record": {
    "abstract": "It is shown that the higher order supersymmetric partners of the harmonic\noscillator Hamiltonian provide the simplest non-trivial realizations of the\npolynomial Heisenberg algebras. A linearized version of the corresponding\nannihilation and creation operator leads to a Fock representation which is the\nsame as for the harmonic oscillator Hamiltonian",
    "arxiv_id": "quant-ph/0011004",
    "authors": [
      "David J. Fernandez C.",
      "Veronique Hussin"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "title": "Polynomial Heisenberg algebras and higher order supersymmetry",
    "url": "https://arxiv.org/abs/quant-ph/0011004"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bf9f57c3-9f4e-4b99-896d-231745e5c517",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}