{
  "annotation_id": "e8fb3f55-e4e3-4c9c-b9a3-77aee4e9db52",
  "date_created": "2026-03-02T18:02:47.929000Z",
  "date_modified": "2026-03-02T18:02:47.929000Z",
  "file_hash": "420a939e18d23dd11fd8820b80760a5f90ca2dab8f3fdd43cbeaf39dadee3287",
  "private": false,
  "record": {
    "abstract": "We use the theory of dynamical invariants to yield a simple derivation of\nnoncyclic analogues of the Abelian and non-Abelian geometric phases. This\nderivation relies only on the principle of gauge invariance and elucidates the\nexisting definitions of the Abelian noncyclic geometric phase. We also discuss\nthe adiabatic limit of the noncyclic geometric phase and compute the adiabatic\nnon-Abelian noncyclic geometric phase for a spin 1 magnetic (or electric)\nquadrupole interacting with a precessing magnetic (electric) field.",
    "arxiv_id": "quant-ph/9909093",
    "authors": [
      "Ali Mostafazadeh"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/32/46/312",
    "journal_ref": "J.Phys.A32:8157-8171,1999",
    "title": "Noncyclic geometric phase and its non-Abelian generalization",
    "url": "https://arxiv.org/abs/quant-ph/9909093"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "07ff42d2-49a8-4372-8fc1-6a849f4b646f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}