{
  "annotation_id": "23b6dd86-24bd-4636-abda-4efb9644c68f",
  "date_created": "2026-03-02T18:02:16.424000Z",
  "date_modified": "2026-03-02T18:02:16.424000Z",
  "file_hash": "bdbef32e9c9bd4cb35cea701ae667f0b9a44b44e150e48bd69822bf1257c5e34",
  "private": false,
  "record": {
    "abstract": "By using the multipolar gauge it is shown that the quantum mechanics of an\nelectrically charged particle moving in a prescribed classical electromagnetic\nfield (wave mechanics) may be expressed in a manner that is gauge invariant,\nexcept that the only gauge functions that are allowable in a gauge\ntransformation are those that consist of the sum of a function that depends\nonly on the space coordinates and a term that is the product of a constant and\nthe time coordinate. The multipolar gauge specifies the specific set of\npotentials that are best suited for use in the Schroedinger equation.",
    "arxiv_id": "quant-ph/0505079",
    "authors": [
      "A. M. Stewart"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Journal of Molecular Structure (Theochem) 626 (2003) 47-51",
    "title": "Wave mechanics without gauge fixing",
    "url": "https://arxiv.org/abs/quant-ph/0505079"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cb098613-429a-4a00-a531-e7e8aa3539a3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}