{
  "annotation_id": "de313d4b-e4b8-4fa1-9a03-063e3f67a228",
  "date_created": "2026-03-02T18:01:56.114000Z",
  "date_modified": "2026-03-02T18:01:56.114000Z",
  "file_hash": "3d64f98594d6ce14badaded139473bdffd4b995378d796f2279ecfb9f6113292",
  "private": false,
  "record": {
    "abstract": "The problem of defining time (or phase) operator for three-dimensional\nharmonic oscillator has been analyzed. A new formula for this operator has been\nderived. The results have been used to demonstrate a possibility of\nrepresenting quantum-mechanical time evolution in the framework of an extended\nHilbert space structure. Physical interpretation of the extended structure has\nbeen discussed shortly, too.",
    "arxiv_id": "quant-ph/0211026",
    "authors": [
      "Pavel Kundrat",
      "Milos V. Lokajicek"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.67.012104",
    "title": "Three-dimensional harmonic oscillator and time evolution in quantum   mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0211026"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b3cb2b78-b40c-428b-b022-4269839a0487",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}