{
  "annotation_id": "e6d10857-9fc2-45aa-bbd0-8a50cf84b71f",
  "date_created": "2026-03-02T18:01:53.120000Z",
  "date_modified": "2026-03-02T18:01:53.120000Z",
  "file_hash": "620f55b249bb0582e174e2fc863f881a35b4b34fd2c8140ab2da547955eb4d90",
  "private": false,
  "record": {
    "abstract": "It is shown by examples that the position uncertainty on a circle, proposed\nrecently by Kowalski and Rembieli\\\u0027nski [J. Phys. A 35 (2002) 1405] is not\nconsistent with the state localization. We argue that the relevant\nuncertainties and uncertainty relations (UR\u0027s) on a circle are that based on\nthe Gram-Robertson matrix. Several of these generalized UR\u0027s are displayed and\nrelated criterions for squeezed states are discussed.",
    "arxiv_id": "quant-ph/0209032",
    "authors": [
      "D. A. Trifonov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/36/8/316",
    "journal_ref": "J. Phys. A 36 (2003) 2197 (for eq. (11) see Erratum: J. Phys. A 36\n  (2003) 5359)",
    "title": "Comment on \"On the uncertainty relations and squeezed states for the   quantum mechanics on a circle\"",
    "url": "https://arxiv.org/abs/quant-ph/0209032"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ab02b0b9-dac3-4540-8a4e-31f6516ae1e2",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}