{
  "annotation_id": "6061edd4-9338-4a23-9b87-354461486210",
  "date_created": "2026-03-02T18:02:06.458000Z",
  "date_modified": "2026-03-02T18:02:06.458000Z",
  "file_hash": "1bda5bad4a8236b63f9d0a704a4d5448a0db097f8c2d4e1d93d4acbb31c4449e",
  "private": false,
  "record": {
    "abstract": "In a semiclassical context we investigate the Zitterbewegung of relativistic\nparticles with spin 1/2 moving in external fields. It is shown that the\nanalogue of Zitterbewegung for general observables can be removed to arbitrary\norder in \\hbar by projecting to dynamically almost invariant subspaces of the\nquantum mechanical Hilbert space which are associated with particles and\nanti-particles. This not only allows to identify observables with a\nsemiclassical meaning, but also to recover combined classical dynamics for the\ntranslational and spin degrees of freedom. Finally, we discuss properties of\neigenspinors of a Dirac-Hamiltonian when these are projected to the almost\ninvariant subspaces, including the phenomenon of quantum ergodicity.",
    "arxiv_id": "quant-ph/0402154",
    "authors": [
      "Jens Bolte",
      "Rainer Glaser"
    ],
    "categories": [
      "quant-ph",
      "nlin.CD"
    ],
    "doi": "10.1088/0305-4470/37/24/012",
    "journal_ref": "J. Phys. A: Math. Gen. 37 (2004) 6359-6373",
    "title": "Zitterbewegung and semiclassical observables for the Dirac equation",
    "url": "https://arxiv.org/abs/quant-ph/0402154"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "042b7e45-77d9-44ad-b679-c8776c2181b0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}