{
  "annotation_id": "98988b87-c47d-4a4a-9a45-1011a163550f",
  "date_created": "2026-03-02T18:02:15.884000Z",
  "date_modified": "2026-03-02T18:02:15.884000Z",
  "file_hash": "43acb88affa3dc92078ef74506726239ec4409e05cd5b6bb9248f700d97d8fe2",
  "private": false,
  "record": {
    "abstract": "The time operator for a quantum singular oscillator of the\nCalogero-Sutherland type is constructed in terms of the generators of the\nSU(1,1) group. In the space spanned by the eigenstates of the Hamiltonian, the\ntime operator is not self-adjoint. We show, that the time-energy uncertainty\nrelation can be given the meaning within the Barut-Girardello coherent states\ndefined for the singular oscillator.We have also shown the relationship with\nthe time-of-arrival operator of Aharonov and Bohm.",
    "arxiv_id": "quant-ph/0503187",
    "authors": [
      "V. Mikuta-Martinis",
      "M. Martinis"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Existence of Time Operator for a Singular Harmonic Oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0503187"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8612eaf4-ce43-4c85-9aae-10510cb2e023",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}