{
  "annotation_id": "236c5327-490a-48b0-885b-5bb728c08734",
  "date_created": "2026-03-02T18:01:38.975000Z",
  "date_modified": "2026-03-02T18:01:38.975000Z",
  "file_hash": "6947502850746bad022dccc6214c357f77786c27464b552b601d4b0e57fef5c6",
  "private": false,
  "record": {
    "abstract": "Exact analytical solutions of the time-dependent Schr\\\"odinger equation with\nthe initial condition of an incident cutoff wave are used to investigate the\ntraversal time for tunneling. The probability density starts from a vanishing\nvalue along the tunneling and transmitted regions of the potential. At the\nbarrier width it exhibits, at early times, a distribution of traversal times\nthat typically has a peak $\\tau_p$ and a width $\\Delta \\tau$. Numerical results\nfor other tunneling times, as the phase-delay time, fall within $\\Delta \\tau$.\nThe B\\\"uttiker traversal time is the closest to $\\tau_p$. Our results resemble\ncalculations based on Feynman paths if its noisy behaviour is ignored.",
    "arxiv_id": "quant-ph/0008014",
    "authors": [
      "Gaston Garcia-Calderon",
      "Jorge Villavicencio"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Early times in tunneling",
    "url": "https://arxiv.org/abs/quant-ph/0008014"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "efc87d60-476b-4f2c-bb29-8435f7b651c9",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}