{
  "annotation_id": "de59bdfb-02bb-46f2-86f0-0e721b34a2ec",
  "date_created": "2026-03-02T18:02:38.137000Z",
  "date_modified": "2026-03-02T18:02:38.137000Z",
  "file_hash": "65fd810ba3d3e65396d7813a400fbdc22e5e3b5b2306e19a332e3af400f568c5",
  "private": false,
  "record": {
    "abstract": "We discuss a spectrum generating algebra in the supersymmetric quantum\nmechanical system which is defined as a series of solutions to a specific\ndifferential equation. All Hamiltonians have equally spaced eigenvalues, and we\nrealize both positive and negative mode generators of a subalgebra of\n$W_{1+\\infty}$ without use of negative power of raising/lowering operators of\nthe system. All features in the supersymmetric case are generalized to the\nparasupersymmetric systems of order 2.",
    "arxiv_id": "quant-ph/9601026",
    "authors": [
      "N. Aizawa",
      "H. -T. Sato"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1143/PTP.98.707",
    "journal_ref": "Prog.Theor.Phys. 98 (1997) 707-718",
    "title": "Isospectral Hamiltonians and $W_{1+\\infty}$ algebra",
    "url": "https://arxiv.org/abs/quant-ph/9601026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4be423c3-9a01-470d-aba3-73dd0e09cfb1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}