{
  "annotation_id": "65e07a69-8fe6-4227-ac68-b42fd659f81c",
  "date_created": "2026-03-02T18:02:13.277000Z",
  "date_modified": "2026-03-02T18:02:13.277000Z",
  "file_hash": "236e5cdfa36e428c9f70b80bf8e1ed8dfe24c1f0047492c63ea62ee607263804",
  "private": false,
  "record": {
    "abstract": "The properties of group delay for Dirac particles traveling through a\npotential well are investigated. A necessary condition is put forward for the\ngroup delay to be negative. It is shown that this negative group delay is\nclosely related to its anomalous dependence on the width of the potential well.\nIn order to demonstrate the validity of stationary-phase approach, numerical\nsimulations are made for Gaussian-shaped temporal wave packets. A restriction\nto the potential-well\u0027s width is obtained that is necessary for the wave packet\nto remain distortionless in the travelling. Numerical comparison shows that the\nrelativistic group delay is larger than its corresponding non-relativistic one.",
    "arxiv_id": "quant-ph/0411052",
    "authors": [
      "Xi Chen",
      "Chun-Fang Li"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.68.052105",
    "journal_ref": "Phys. Rev. A 68, 052105 (2003)",
    "title": "Negative group delay for Dirac particles traveling through a potential   well",
    "url": "https://arxiv.org/abs/quant-ph/0411052"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7af40fb8-45af-4d1c-b983-953b81e2a191",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}