{
  "annotation_id": "abe442a2-77ca-4ae2-98a9-1f1caa39db64",
  "date_created": "2026-03-02T18:02:10.283000Z",
  "date_modified": "2026-03-02T18:02:10.283000Z",
  "file_hash": "7d4d4c3dbe60c07eb21c8513192d6010ede14aa8f60aed784de10fef78ef9f8f",
  "private": false,
  "record": {
    "abstract": "Using the relativistic quantum stationary Hamilton-Jacobi equation within the\nframework of the equivalence postulate, and grounding oneself on both\nrelativistic and quantum Lagrangians, we construct a Lagrangian of a\nrelativistic quantum system in one dimension and derive a third order equation\nof motion representing a first integral of the relativistic quantum Newton\u0027s\nlaw. Then, we plot the relativistic quantum trajectories of a particle moving\nunder the constant and the linear potentials. We establish the existence of\nnodes and link them to the de Broglie\u0027s wavelength.",
    "arxiv_id": "quant-ph/0407044",
    "authors": [
      "T. Djama"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0031-8949/75/1/011",
    "journal_ref": "Phys.Scripta 75 (2007) 71-76",
    "title": "The Relativistic Quantum Motions",
    "url": "https://arxiv.org/abs/quant-ph/0407044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2fdfba03-30e0-457e-b924-42079f85e9b1",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}