{
  "annotation_id": "bbb3c5a1-6050-41ef-b3f0-fe7029e76f53",
  "date_created": "2026-03-02T18:01:52.436000Z",
  "date_modified": "2026-03-02T18:01:52.436000Z",
  "file_hash": "d93be17db5ffb8806f0ccb1da7441620d525335c2c3bada2b189c18f25ca9ea3",
  "private": false,
  "record": {
    "abstract": "Analytic solutions to the time-dependent Schr\\\"odinger equation for cutoff\nwave initial conditions are used to investigate the time evolution of the\ntransmitted probability density for tunneling. For a broad range of values of\nthe potential barrier opacity $\\alpha$, we find that the probability density\nexhibits two evolving structures. One refers to the propagation of a {\\it\nforerunner} related to a {\\it time domain resonance} [Phys. Rev. A {\\bf 64},\n0121907 (2001)], while the other consists of a semiclassical propagating\nwavefront. We find a regime where the {\\it forerunners} are absent,\ncorresponding to positive {\\it time delays}, and show that this regime is\ncharacterized by opacities $\\alpha \u003c \\alpha_c$. The critical opacity $\\alpha_c$\nis derived from the analytical expression for the {\\it delay time}, that\nreflects a link between transient effects in tunneling and the {\\it delay time}",
    "arxiv_id": "quant-ph/0210008",
    "authors": [
      "Gaston Garcia-Calderon",
      "Jorge Villavicencio"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.66.032104",
    "title": "Delay time and tunneling transient phenomena",
    "url": "https://arxiv.org/abs/quant-ph/0210008"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f521c7cf-77d7-4e6f-8e63-a8a4396f4cf6",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}