{
  "annotation_id": "e0a15e6c-ccc3-4072-b72d-b843db92466c",
  "date_created": "2026-03-02T18:02:16.540000Z",
  "date_modified": "2026-03-02T18:02:16.540000Z",
  "file_hash": "578c06b2374486e712346620da77dc586d46f43c5931af020ae191711ff140d6",
  "private": false,
  "record": {
    "abstract": "The equality in the uncertainty principle for linear momentum and position is\nobtained for states which also minimize the uncertainty product. However, in\nthe uncertainty relation for angular momentum and angular position both sides\nof the inequality are state dependent and therefore the intelligent states,\nwhich satisfy the equality, do not necessarily give a minimum for the\nuncertainty product. In this paper, we highlight the difference between\nintelligent states and minimum uncertainty states by investigating a class of\nintelligent states which obey the equality in the angular uncertainty relation\nwhile having an arbitrarily large uncertainty product. To develop an\nunderstanding for the uncertainties of angle and angular momentum for the\nlarge-uncertainty intelligent states we compare exact solutions with analytical\napproximations in two limiting cases.",
    "arxiv_id": "quant-ph/0506238",
    "authors": [
      "Joerg B. Goette",
      "Roberta Zambrini",
      "Sonja Franke-Arnold",
      "Stephen M. Barnett"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0953-4075/39/9/C01",
    "journal_ref": "J. Opt. B. 7 S563-S571 (2005)",
    "title": "Large-uncertainty intelligent states for angular momentum and angle",
    "url": "https://arxiv.org/abs/quant-ph/0506238"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c4ffe517-4e00-4d37-b375-0c5b86cf0a35",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}