{
  "annotation_id": "72377ac0-5c0e-4cba-8264-1928941f7239",
  "date_created": "2026-03-02T18:02:13.575000Z",
  "date_modified": "2026-03-02T18:02:13.575000Z",
  "file_hash": "8ee2183757bce5e0473d686fa2ebb3eb1103fe0fb7b5ffad0cd61f86237f7b9a",
  "private": false,
  "record": {
    "abstract": "In introducing second quantization for fermions, Jordan and Wigner\n(1927/1928) observed that the algebra of a single pair of fermion creation and\nannihilation operators in quantum mechanics is closely related to the algebra\nof quaternions H. For the first time, here we exploit this fact to study\nnonlinear Bogolyubov-Valatin transformations (canonical transformations for\nfermions) for a single fermionic mode. By means of these transformations, a\nclass of fermionic Hamiltonians in an external field is related to the standard\nFermi oscillator.",
    "arxiv_id": "quant-ph/0411170",
    "authors": [
      "J. -W. van Holten",
      "K. Scharnhorst"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.str-el",
      "hep-ph",
      "math-ph",
      "math.MP",
      "nucl-th"
    ],
    "doi": "10.1088/0305-4470/38/47/012",
    "journal_ref": "J.Phys.A38:10245-10252,2005",
    "title": "Nonlinear Bogolyubov-Valatin transformations and quaternions",
    "url": "https://arxiv.org/abs/quant-ph/0411170"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0ffb3550-a3a8-45a6-80a9-55f4f402655d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}