{
  "annotation_id": "ef317d2c-f5ce-4fc9-a4d3-3d6662eefb16",
  "date_created": "2026-03-02T18:02:27.662000Z",
  "date_modified": "2026-03-02T18:02:27.662000Z",
  "file_hash": "5f3601d400e2618669eeb203983b6674cda13c9332c2a14ad591ad6797e7d53f",
  "private": false,
  "record": {
    "abstract": "Quantum systems in specific regimes display recurrences at the period of the\nperiodic orbits of the corresponding classical system. We investigate the\nexcited hydrogen atom in a magnetic field -- a prototypical system of \u0027quantum\nchaos\u0027 -- from the point of view of the de Broglie Bohm (BB) interpretation of\nquantum mechanics. The trajectories predicted by BB theory are computed and\ncontrasted with the time evolution of the wavefunction, which shows pronounced\nfeatures at times matching the period of closed orbits of the classical\nhydrogen in a magnetic field problem. Individual BB trajectories do not possess\nthese periodicities and cannot account for the quantum recurrences. These\nrecurrences can however be explained by BB theory by considering the ensemble\nof trajectories compatible with an initial statistical distribution, although\nnone of the trajectories of the ensemble are periodic, rendering unclear the\ndynamical origin of the classical periodicities.",
    "arxiv_id": "quant-ph/0607095",
    "authors": [
      "A. Matzkin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1016/j.physleta.2006.09.052",
    "journal_ref": "Phys. Lett. A 361, 294 (2007).",
    "title": "Can Bohmian trajectories account for quantum recurrences having   classical periodicities?",
    "url": "https://arxiv.org/abs/quant-ph/0607095"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d975da61-723c-4e99-8af4-555821c8445c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}