{
  "annotation_id": "71bfb992-f99a-4f67-a802-5df5727d7c63",
  "date_created": "2026-03-02T18:01:59.804000Z",
  "date_modified": "2026-03-02T18:01:59.804000Z",
  "file_hash": "a1ec776b150d1d381691997f0dfae082bae78e4eb3a8a4404f2ae1fc6f8851a0",
  "private": false,
  "record": {
    "abstract": "The de Broglie-Bohm causal theory of quantum mechanics is applied to the\nhydrogen atom in the fully spin-dependent and relativistic framework of the\nDirac equation, and in the nonrelativistic but spin-dependent framework of the\nPauli equation. Eigenstates are chosen which are simultaneous eigenstates of\nthe energy H, total angular momentum M, and z component of the total angular\nmomentum M_z. We find the trajectories of the electron, and show that in these\neigenstates, motion is circular about the z-axis, with constant angular\nvelocity. We compute the rates of revolution for the ground (n=1) state and the\nn=2 states, and show that there is agreement in the relevant cases between the\nDirac and Pauli results, and with earlier results on the Schrodinger equation.",
    "arxiv_id": "quant-ph/0304198",
    "authors": [
      "C. Colijn",
      "E. R. Vrscay"
    ],
    "categories": [
      "quant-ph"
    ],
    "journal_ref": "Found. Phys. Lett. Vol. 16, No. 4 pp. 303-323 (2003)",
    "title": "Spin-dependent Bohm trajectories for Pauli and Dirac eigenstates of   hydrogen",
    "url": "https://arxiv.org/abs/quant-ph/0304198"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "ae9f0aaa-c282-4fc9-9cbf-9015f2339153",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}