{
  "annotation_id": "14ba8305-e3ea-4701-94a2-45a44a74146b",
  "date_created": "2026-03-02T18:02:27.511000Z",
  "date_modified": "2026-03-02T18:02:27.511000Z",
  "file_hash": "5e51957527bb2a2e7a4c3127e8d455125c01cca62006674dd620fd20503971e1",
  "private": false,
  "record": {
    "abstract": "The uncertainty relations for angle and angular momentum are revisited. We\nuse the exponential of the angle instead of the angle itself and adopt\ndispersion as a natural measure of resolution. We find states that minimize the\nuncertainty product under the constraint of a given uncertainty in angle or in\nangular momentum. These states are described in terms of Mathieu wave functions\nand may be approximated by a von Mises distribution, which is the closest\nanalogous of the Gaussian on the unit circle. We report experimental results\nusing beam optics that confirm our predictions.",
    "arxiv_id": "quant-ph/0605137",
    "authors": [
      "Z. Hradil",
      "J. Rehacek",
      "Z. Bouchal",
      "R. Celechovsky",
      "L. L. Sanchez-Soto"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevLett.97.243601",
    "journal_ref": "Phys. Rev. Lett. 97, 243601 (2006)",
    "title": "Minimum uncertainty measurements of angle and angular momentum",
    "url": "https://arxiv.org/abs/quant-ph/0605137"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f50e1dcd-de38-4d81-9127-e631c96b4d22",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}