{
  "annotation_id": "b53e90ba-d19c-496c-ac46-752fc2b8871b",
  "date_created": "2026-03-02T18:01:51.841000Z",
  "date_modified": "2026-03-02T18:01:51.841000Z",
  "file_hash": "014f940829de25ebd5acaf448cf98cb077ffb04a2b3d363483153ba50e4db904",
  "private": false,
  "record": {
    "abstract": "For the special case of freely evolving Dirac electrons in $1 + 1$\ndimensions, Feynman checkerboard paths have previously been used to derive\nWigner\u0027s arrival-time distribution which includes all arrivals. Here, an\nattempt is made to use these paths to determine the corresponding distribution\nof first-arrival times. Simple analytic expressions are obtained for the\nrelevant components of the first-arrival propagator. These are used to\ninvestigate the relative importance of the first-arrival contribution to the\nWigner arrival-time distribution and of the contribution arising from\ninterference between first and later (i.e. second, third, ...) arrivals. It is\nfound that a distribution of (intrinsic) first-arrival times for a Dirac\nelectron cannot in general be consistently defined using checkerboard paths,\nnot even approximately in the nonrelativistic regime.",
    "arxiv_id": "quant-ph/0206071",
    "authors": [
      "D. Alonso",
      "R. Sala Mayato",
      "C. R. Leavens"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.66.042108",
    "journal_ref": "Phys. Rev. A, 42108 Vol 66 (2002)",
    "title": "On first-arrival-time distributions for a Dirac electron in 1+1   dimensions",
    "url": "https://arxiv.org/abs/quant-ph/0206071"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f8d892e0-91f1-4475-9fb0-c782ceace2da",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}