{
  "annotation_id": "fed0a080-e038-4d2f-8bcb-84e588a46a96",
  "date_created": "2026-03-02T18:01:46.129000Z",
  "date_modified": "2026-03-02T18:01:46.129000Z",
  "file_hash": "c9e4a2f9b6fe8376162bb96fd65ffcee48d48dcbd8bb5c291d0102a7df755d42",
  "private": false,
  "record": {
    "abstract": "Only the position representation is used in introductory quantum mechanics\nand the momentum representation is not usually presented until advanced\nundergraduate courses. To emphasize the relativity of the representations of\nthe abstract formulation of quantum mechanics, two examples of representations\nrelated to the operators aX+(1-a)P and (XP+PX)/2 are presented.",
    "arxiv_id": "quant-ph/0109129",
    "authors": [
      "A. C. de la Torre"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1119/1.1419100",
    "journal_ref": "Am. J. Phys. 70, 398-300, 2002.",
    "title": "Relativity of representations in quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0109129"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7aa4722d-ac58-486b-ab89-88330f744b8d",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}