{
  "annotation_id": "84228de1-b015-4312-b4e6-6d7c3aff2f9c",
  "date_created": "2026-03-02T18:02:37.381000Z",
  "date_modified": "2026-03-02T18:02:37.381000Z",
  "file_hash": "30b7863b9ee79815507b6d88a48d45902e5e595c66e87f87887929d3d551b9aa",
  "private": false,
  "record": {
    "abstract": "Uncertainty relations between a bounded coordinate operator and a conjugate\nmomentum operator frequently appear in quantum mechanics. We prove that\nphysically reasonable minimum-uncertainty solutions to such relations have\nquantized expectation values of the conjugate momentum. This implies, for\nexample, that the mean angular momentum is quantized for any\nminimum-uncertainty state obtained from any uncertainty relation involving the\nangular-momentum operator and a conjugate coordinate. Experiments specifically\nseeking to create minimum-uncertainty states localized in angular coordinates\ntherefore must produce packets with integer angular momentum.",
    "arxiv_id": "quant-ph/9512030",
    "authors": [
      "Alan Kostelecky",
      "Bogdan Tudose"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.53.1978",
    "journal_ref": "Phys.Rev.A53:1978-1981,1996",
    "title": "Minimum-Uncertainty Angular Wave Packets and Quantized Mean Values",
    "url": "https://arxiv.org/abs/quant-ph/9512030"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2e8f7663-2184-4be0-a94b-ce9562ffc3f5",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}