{
  "annotation_id": "35735f16-01ed-417f-89ad-f4a926bc5e4e",
  "date_created": "2026-03-02T18:01:34.865000Z",
  "date_modified": "2026-03-02T18:01:34.865000Z",
  "file_hash": "00c03b7697dd043da8ae5333613bd855d44a580ce62bd0a891d1edfd979c9b0e",
  "private": false,
  "record": {
    "abstract": "We introduce a formalism for the calculation of the time of arrival t at a\nspace point for particles traveling through interacting media. We develop a\ngeneral formulation that employs quantum canonical transformations from the\nfree to the interacting cases to construct t in the context of the Positive\nOperator Valued Measures. We then compute the probability distribution in the\ntimes of arrival at a point for particles that have undergone reflection,\ntransmission or tunneling off finite potential barriers. For narrow Gaussian\ninitial wave packets we obtain multimodal time distributions of the reflected\npackets and a combination of the Hartman effect with unexpected retardation in\ntunneling. We also employ explicitly our formalism to deal with arrivals in the\ninteraction region for the step and linear potentials.",
    "arxiv_id": "quant-ph/0002011",
    "authors": [
      "J. Leon",
      "J. Julve",
      "P. Pitanga",
      "F. J. de Urries"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.61.062101",
    "title": "Time of arrival in the presence of interactions",
    "url": "https://arxiv.org/abs/quant-ph/0002011"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "070165be-60e9-4f77-80d3-dc219c051752",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}