{
  "annotation_id": "bb89d8e0-eac8-4058-97cb-a470833eb268",
  "date_created": "2026-03-02T18:01:42.063000Z",
  "date_modified": "2026-03-02T18:01:42.063000Z",
  "file_hash": "fd3032eac0c1487c8b7643fb25a41ac5f80183ac284cf6f0b464b0426e2ab972",
  "private": false,
  "record": {
    "abstract": "A unified approach to the time analysis of tunnelling of nonrelativistic\nparticles is presented, in which Time is regarded as a quantum-mechanical\nobservable, canonically conjugated to Energy. The validity of the Hartman\neffect (independence of the Tunnelling Time of the opaque barrier width, with\nSuperluminal group velocities as a consequence) is verified for ALL the known\nexpressions of the mean tunnelling time. Moreover, the analogy between particle\nand photon tunnelling is suitably exploited. On the basis of such an analogy,\nan explanation of some recent microwave and optics experimental results on\ntunnelling times is proposed. Attention is devoted to some aspects of the\ncausality problem for particle and photon tunnelling.",
    "arxiv_id": "quant-ph/0102007",
    "authors": [
      "Vladislav S. Olkhovsky",
      "Erasmo Recami",
      "Jacek Jakiel"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physrep.2004.06.001",
    "journal_ref": "Physics Reports 398 (2004) 133-178",
    "title": "Unified time analysis of photon and (nonrelativistic) particle   Tunnelling, and the Superluminal group-velocity problem",
    "url": "https://arxiv.org/abs/quant-ph/0102007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d1f3e2cd-5079-4845-890d-238e115b4b77",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}