{
  "annotation_id": "5f8eb930-071d-4282-a7ec-303f443c36a5",
  "date_created": "2026-03-02T18:02:31.273000Z",
  "date_modified": "2026-03-02T18:02:31.273000Z",
  "file_hash": "92708338a41fc864d85354cb288aa1e90b65f45918f5904422b37648c7044716",
  "private": false,
  "record": {
    "abstract": "The quantum theory of rotation angles (S. M. Barnett and D. T. Pegg, Phys.\nRev. A, 41, 3427-3425 (1990)) is generalised to non-integer values of the\norbital angular momentum. This requires the introduction of an additional\nparameter, the orientation of a phase discontinuity associated with fractional\nvalues of the orbital angular momentum. We apply our formalism to the\npropagation of light modes with fractional orbital angular momentum in the\nparaxial and non-paraxial regime.",
    "arxiv_id": "quant-ph/0611169",
    "authors": [
      "J. B. Goette",
      "S. Franke-Arnold",
      "R. Zambrini",
      "Stephen M. Barnett"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1080/09500340601156827",
    "title": "Quantum Formulation of Fractional Orbital Angular Momentum",
    "url": "https://arxiv.org/abs/quant-ph/0611169"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9b405f6d-377c-41d0-94a5-30cbc567e2e2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}