{
  "annotation_id": "f4302724-a123-40aa-825e-c0dcdf9849f1",
  "date_created": "2026-03-02T18:02:47.723000Z",
  "date_modified": "2026-03-02T18:02:47.723000Z",
  "file_hash": "4bdd49db12a953b3ee617bf38cc561f91aa592c2e1da2c5eb4d6f6502054fc0b",
  "private": false,
  "record": {
    "abstract": "We explain how the kind of ``parallel transport\u0027\u0027 of a wavefunction used in\ndiscussing the Berry or Geometrical phase induces the conventional parallel\ntransport of certain real vectors. These real vectors are associated with\noperators whose commutators yield diagonal operators; or in Lie algebras those\noperators whose commutators are in the (diagonal) Cartan subalgebra.",
    "arxiv_id": "quant-ph/9908046",
    "authors": [
      "J. Anandan",
      "L. Stodolsky"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.DG",
      "math.MP"
    ],
    "doi": "10.1016/S0375-9601(00)00013-X",
    "journal_ref": "Phys. Lett. A 266(2000)95-97",
    "title": "On the Relation Between Quantum Mechanical and Classical Parallel   Transport",
    "url": "https://arxiv.org/abs/quant-ph/9908046"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e7923846-4d8c-41b9-ba0b-9171430aff92",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}