{
  "annotation_id": "d451ee4c-70ec-4c24-bfd8-a53ef59013de",
  "date_created": "2026-03-02T18:02:09.597000Z",
  "date_modified": "2026-03-02T18:02:09.597000Z",
  "file_hash": "7e371f09d155c2fc54c7be98091ca3bf8e9f9acdee2a365ab04f285143fe884b",
  "private": false,
  "record": {
    "abstract": "We characterize the quasianti-Hermitian quaternionic operators in QQM by\nmeans of their spectra; moreover, we state a necessary and sufficient condition\nfor a set of quasianti-Hermitian quaternionic operators to be anti-Hermitian\nwith respect to a uniquely defined positive scalar product in a infinite\ndimensional (right) quaternionic Hilbert space. According to such results we\nobtain two alternative descriptions of a quantum optical physical system, in\nthe realm of quaternionic quantum mechanics, while no alternative can exist in\ncomplex quantum mechanics, and we discuss some differences between them.",
    "arxiv_id": "quant-ph/0407158",
    "authors": [
      "A. Blasi",
      "G. Scolarici",
      "L. Solombrino"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.1873040",
    "title": "Alternative Descriptions in Quaternionic Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0407158"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "492cf2c5-0dbc-48f5-962e-09a45a33afd2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}