{
  "annotation_id": "b56b14af-4079-4bfe-901e-270c8dfb5510",
  "date_created": "2026-03-02T18:02:13.520000Z",
  "date_modified": "2026-03-02T18:02:13.520000Z",
  "file_hash": "276d76b527cdeef1028cf2c738a8227370bb97f560a549ad7f001a3e8953f9b8",
  "private": false,
  "record": {
    "abstract": "We derive the semiclassical (with accuracy of $\\hbar$) motion equation for\nrelativistic electron, which follow from the Dirac equation. We determine both\nthe evolution equation for electron polarization, which takes the non-Abelian\nBerry phase into account, and Hamiltonian equations for trajectories of the\nparticle (wave packet) center in the phase space. The equations have covariant\nform with respect to U(2) gauge transformations and contain topological spin\nterms that are connected to the Berry gauge field arising during the\ndiagonalization of the Dirac equation. The trajectory equations obtained are\nsubstantially different from the traditional ones (for instance, those that\nfollow from the Pauli Hamiltonian) and correspond to contemporary ideas of\ntopological spin transport of particles.",
    "arxiv_id": "quant-ph/0501183",
    "authors": [
      "K. Yu. Bliokh"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "hep-th"
    ],
    "doi": "10.1209/epl/i2005-10205-1",
    "journal_ref": "Europhys.Lett. 72 (2005) 7",
    "title": "Topological spin transport of relativistic electron",
    "url": "https://arxiv.org/abs/quant-ph/0501183"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "748d43b7-e2d2-4124-9ba2-e21787c9637b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}