{
  "annotation_id": "cc55d029-ae9c-47a1-871b-7937825a5e60",
  "date_created": "2026-03-02T18:01:59.539000Z",
  "date_modified": "2026-03-02T18:01:59.539000Z",
  "file_hash": "b29060704f7c41388ede9dc179999fbcec75c5364ae913aa023c36ab870aa8e9",
  "private": false,
  "record": {
    "abstract": "New position uncertainty (delocalization) measures for a particle on the\ncircle are proposed and illustrated on several examples, where the previous\nmeasures (based on 2pi-periodic position operators) appear to be\nunsatisfactory. The new measures are suitably constructed using the standard\nmultiplication angle operator variances. They are shown to depend solely on the\nstate of the particle and to obey uncertainty relations of the\nSchroedinger-Robertson type.",
    "arxiv_id": "quant-ph/0307137",
    "authors": [
      "D. A. Trifonov"
    ],
    "categories": [
      "quant-ph",
      "physics.atom-ph"
    ],
    "doi": "10.1088/0305-4470/36/47/013",
    "journal_ref": "J. Phys. A36 (2003) 11873",
    "title": "On the position uncertainty measure on the circle",
    "url": "https://arxiv.org/abs/quant-ph/0307137"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "1826cf7c-9200-481b-bdd0-879273f3bbb4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}