{
  "annotation_id": "a2ba8773-97b9-482c-8d33-18a5d576185f",
  "date_created": "2026-03-02T18:02:24.007000Z",
  "date_modified": "2026-03-02T18:02:24.007000Z",
  "file_hash": "8f3e50b4f2a796a357fad6a39d7469696b158d7e5cfbfd0ea8ea375b4194b890",
  "private": false,
  "record": {
    "abstract": "The uncertainty relation for angle and angular momentum has a lower bound\nwhich depends on the form of the state. Surprisingly, this lower bound can be\nvery large. We derive the states which have the lowest possible uncertainty\nproduct for a given uncertainty in the angle or in the angular momentum. We\nshow that, if the given angle uncertainty is close to its maximum value, the\nlowest possible uncertainty product tends to infinity.",
    "arxiv_id": "quant-ph/0512077",
    "authors": [
      "Joerg B. Goette",
      "Paul M. Radmore",
      "Roberta Zambrini",
      "Stephen M. Barnett"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0953-4075/39/12/013",
    "journal_ref": "J. Phys. B: At. Mol. Opt. Phys. 39 (2006) 2791-2801",
    "title": "Angular minimum uncertainty states with large uncertainties",
    "url": "https://arxiv.org/abs/quant-ph/0512077"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "147ae112-b8b6-4e39-a144-b808ed5f8c65",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}