{
  "annotation_id": "31266dc9-f2c9-428b-8261-bb08734644d1",
  "date_created": "2026-03-02T18:01:56.122000Z",
  "date_modified": "2026-03-02T18:01:56.122000Z",
  "file_hash": "f18d154dbda069fa8363e8bdb2f986f726b10a71026ce68178b5814c80db73b4",
  "private": false,
  "record": {
    "abstract": "The problem of existence of a self-adjoint time operator conjugate to a\nHamiltonian with SU(1,1) dynamical symmetry is investigated. In the space\nspanned by the eigenstates of the generator $K_3$ of the SU(1,1) group, the\ntime operator for the quantum singular harmonic potential of the form $\\omega\n^2x2 + g/x2$ is constructed explicitly, and shown that it is related to the\ntime-of-arrival operator of Aharonov and Bohm. Our construction is fully\nalgebraic, involving only the generators of the SU(1,1) group.",
    "arxiv_id": "quant-ph/0211118",
    "authors": [
      "M. Martinis",
      "V. Mikuta"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Time Operator for a Quantum Singular Oscillator",
    "url": "https://arxiv.org/abs/quant-ph/0211118"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c3d55d45-06ee-4625-bf10-86cbf4183485",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}