{
  "annotation_id": "83ef1163-d6ad-4a7f-a83a-9558c32b4eef",
  "date_created": "2026-03-02T18:02:45.026000Z",
  "date_modified": "2026-03-02T18:02:45.026000Z",
  "file_hash": "7ec55db16cc655eb075f834ec3eb9b3d69d48a48c8e264297ee56d6b89aa4f04",
  "private": false,
  "record": {
    "abstract": "An operational time of arrival is introduced using a realistic position and\nmomentum measurement scheme. The phase space measurement involves the dynamics\nof a quantum particle probed by a measuring device. For such a measurement an\noperational positive operator valued measure in phase space is introduced and\ninvestigated. In such an operational formalism a quantum mechanical time\noperator is constructed and analyzed. A phase space time and energy uncertainty\nrelation is derived.",
    "arxiv_id": "quant-ph/9902044",
    "authors": [
      "Piotr Kochanski",
      "Krzysztof Wodkiewicz"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.61.029901",
    "title": "Operational Time of Arrival in Quantum Phase Space",
    "url": "https://arxiv.org/abs/quant-ph/9902044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "e0055b35-d12f-4eca-9aab-24526f4910ff",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}