{
  "annotation_id": "330acfdd-95e4-457b-98ca-2ee406ae8857",
  "date_created": "2026-03-02T18:02:44.403000Z",
  "date_modified": "2026-03-02T18:02:44.403000Z",
  "file_hash": "479f3bf88d93367357816ebdc448e15a4e135a2ed2647e27ffa1fe640ecc0deb",
  "private": false,
  "record": {
    "abstract": "New uncertainty relations for n observables are established. The relations\ntake the invariant form of inequalities between the characteristic coefficients\nof order r, r = 1,2,...,n, of the uncertainty matrix and the matrix of mean\ncommutators of the observables.\n  It is shown that the second and the third order characteristic inequalities\nfor the three generators of SU(1,1) and SU(2) are minimized in the\ncorresponding group-related coherent states with maximal symmetry.",
    "arxiv_id": "quant-ph/9809026",
    "authors": [
      "D. A. Trifonov",
      "S. G. Donev"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1088/0305-4470/31/39/016",
    "journal_ref": "J.Phys.A31:8041-8047,1998",
    "title": "Characteristic uncertainty relations",
    "url": "https://arxiv.org/abs/quant-ph/9809026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e3395b60-b6ec-48e5-a553-83442fd259c3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}