{
  "annotation_id": "bfdb899b-0499-48ad-b0c7-56c331b00881",
  "date_created": "2026-03-02T18:02:10.070000Z",
  "date_modified": "2026-03-02T18:02:10.070000Z",
  "file_hash": "9cd71146f469e61ee39f6579defdcd6637eafe34b3516955625c9988c20f53a3",
  "private": false,
  "record": {
    "abstract": "This article investigates some solutions of the time-dependent free Dirac\nequation. Visualizations of these solutions immediately reveal strange\nphenomena that are caused by the interference of positive- and negative-energy\nwaves. The effects discussed here include the Zitterbewegung, the opposite\ndirection of momentum and velocity in negative-energy wave packets, and the\nsuperluminal propagation of the wave packet\u0027s local maxima.",
    "arxiv_id": "quant-ph/0409079",
    "authors": [
      "Bernd Thaller"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Visualizing the kinematics of relativistic wave packets",
    "url": "https://arxiv.org/abs/quant-ph/0409079"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "3e66a899-9131-44b0-bdfa-7ca33ad50a55",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}