{
  "annotation_id": "c010ce1b-ded5-47db-87eb-2e6f2743c5cc",
  "date_created": "2026-03-02T18:02:30.411000Z",
  "date_modified": "2026-03-02T18:02:30.411000Z",
  "file_hash": "121b87c1ef488734101e4131065601a2eb99ac2b3187c914f8ce85606ddf8a13",
  "private": false,
  "record": {
    "abstract": "We study the probability assignment for the outcomes of time-extended\nmeasurements. We construct the class-operator that incorporates the information\nabout a generic time-smeared quantity. These class-operators are employed for\nthe construction of Positive-Operator-Valued-Measures for the time-averaged\nquantities. The scheme highlights the distinction between velocity and momentum\nin quantum theory. Propositions about velocity and momentum are represented by\ndifferent class-operators, hence they define different probability measures. We\nprovide some examples, we study the classical limit and we construct\nprobabilities for generalized time-extended phase space variables.",
    "arxiv_id": "quant-ph/0609021",
    "authors": [
      "C. Anastopoulos",
      "N. Savvidou"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2713078",
    "journal_ref": "J. Math. Phys. 48, 032106 (2007).",
    "title": "Quantum probabilities for time-extended measurements",
    "url": "https://arxiv.org/abs/quant-ph/0609021"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "491df27c-4dd0-4f57-8789-af3854a898f8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}