{
  "annotation_id": "7aa99cff-8667-41a5-ae0e-de28c5743f26",
  "date_created": "2026-03-02T18:01:48.954000Z",
  "date_modified": "2026-03-02T18:01:48.954000Z",
  "file_hash": "0a34897b87eaa44f2325e7aa800d1adce9835cc1df2e5a61c2597d83ba763f5f",
  "private": false,
  "record": {
    "abstract": "We examine the dynamic and geometric phases of the electron in quantum\nmechanics using Hestenes\u0027 spacetime algebra formalism. First the standard\ndynamic phase formula is translated into the spacetime algebra. We then define\nnew formulas for the dynamic and geometric phases that can be used in Hestenes\u0027\nformalism.",
    "arxiv_id": "quant-ph/0111101",
    "authors": [
      "David W. Dreisigmeyer",
      "Richard Clawson",
      "R. Eykholt",
      "Peter M. Young"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Dynamic and Geometric Phase Formulasin the Hestenes-Dirac Theory",
    "url": "https://arxiv.org/abs/quant-ph/0111101"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "577b2762-acac-4ae2-a411-6961bd1671e9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}