{
  "annotation_id": "8b3701f1-be20-4bdd-a091-b23df503db3a",
  "date_created": "2026-03-02T18:01:39.260000Z",
  "date_modified": "2026-03-02T18:01:39.260000Z",
  "file_hash": "55559fb9b1e0ef5d3d0ac3d73c7f7d0c77a232333c43da3afca33928f68a0cf4",
  "private": false,
  "record": {
    "abstract": "The time of arrival at an arbitrary position in configuration space can be\ngiven as a function of the phase space variables for the Liouville integrable\nsystems of classical mechanics, but only for them. We review the Jacobi-Lie\ntransformation that explicitly implements this function of positions and\nmomenta. We then discuss the recently developed quantum formalism for the time\nof arrival. We first analyze the case of free particles in one and three space\ndimensions. Then, we apply the quantum version of the Jacobi-Lie transformation\nto work out the time of arrival operator in the presence of interactions. We\ndiscuss the formalism and its interpretation. We finish by disclosing the\npresence (absence) of \"instantaneous\" tunneling for thin (thick) barriers.",
    "arxiv_id": "quant-ph/0008025",
    "authors": [
      "Juan Leon"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Time of arrival in Classical and Quantum Mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0008025"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "06ea6b7b-f2a4-4773-8484-700600e15a49",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}