{
  "annotation_id": "889833c9-f5eb-4a2c-a2a6-45cff528cecb",
  "date_created": "2026-03-02T18:02:00.141000Z",
  "date_modified": "2026-03-02T18:02:00.141000Z",
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  "record": {
    "abstract": "It is proved by a functional method that the conventional expression for the\nDirac current is the only conserved 4-vector implied by the Dirac equation that\nis a function of just the quantum state. The demonstration is extended to\nderive the unique conserved currents implied by the coupled Maxwell-Dirac\nequations and the Klein-Gordon equation. The uniqueness of the usual Pauli and\nSchrodinger currents follows by regarding these as the non-relativistic limits\nof the Dirac and Klein-Gordon currents, respectively. The existence and\nproperties of further conserved vectors that are not functions of just the\nstate is examined.",
    "arxiv_id": "quant-ph/0305175",
    "authors": [
      "Peter Holland"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1002/andp.200310022",
    "journal_ref": "Ann. Phys. (Leipzig) 12, 446-62 (2003) (slightly modified version)",
    "title": "Uniqueness of conserved currents in quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0305175"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6af2322d-899c-4ce5-b319-f8f0ff62cc6a",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}