{
  "annotation_id": "b6d009c7-a311-48c5-a069-a56d85585a3a",
  "date_created": "2026-03-02T18:02:13.520000Z",
  "date_modified": "2026-03-02T18:02:13.520000Z",
  "file_hash": "1e9c81b39ccf79f3b4c9c5f908f3b8aa9b6f49d0f2a98d5a824fce7c99bcb6c2",
  "private": false,
  "record": {
    "abstract": "We consider the arrival time distribution defined through the quantum\nprobability current for a Gaussian wave packet representing free particles in\nquantum mechanics in order to explore the issue of the classical limit of\narrival time. We formulate the classical analogue of the arrival time\ndistribution for an ensemble of free particles represented by a phase space\ndistribution function evolving under the classical Liouville\u0027s equation. The\nclassical probability current so constructed matches with the quantum\nprobability current in the limit of minimum uncertainty. Further, it is\npossible to show in general that smooth transitions from the quantum mechanical\nprobability current and the mean arrival time to their respective classical\nvalues are obtained in the limit of large mass of the particles.",
    "arxiv_id": "quant-ph/0501182",
    "authors": [
      "Md. Manirul Ali",
      "A. S. Majumdar",
      "Alok Kumar Pan"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Found. Phys. Lett. 19, 723 (2006)",
    "title": "The Quantum-Classical Comparison of the Arrival Time Distribution   through the Probability Current",
    "url": "https://arxiv.org/abs/quant-ph/0501182"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ea2d6cad-a182-43b5-8493-231130838f43",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}