{
  "annotation_id": "a3a2d453-16b4-42eb-9214-974f0aef2e3d",
  "date_created": "2026-03-02T18:02:13.676000Z",
  "date_modified": "2026-03-02T18:02:13.676000Z",
  "file_hash": "a85585e63959b4361c256c61ca40dcce21aae745a4268fde3233a94dba968d13",
  "private": false,
  "record": {
    "abstract": "A quantum fractal is a wavefunction with a real and an imaginary part\ncontinuous everywhere, but differentiable nowhere. This lack of\ndifferentiability has been used as an argument to deny the general validity of\nBohmian mechanics (and other trajectory--based approaches) in providing a\ncomplete interpretation of quantum mechanics. Here, this assertion is overcome\nby means of a formal extension of Bohmian mechanics based on a limiting\napproach. Within this novel formulation, the particle dynamics is always\nsatisfactorily described by a well defined equation of motion. In particular,\nin the case of guidance under quantum fractals, the corresponding trajectories\nwill also be fractal.",
    "arxiv_id": "quant-ph/0412050",
    "authors": [
      "A. S. Sanz"
    ],
    "categories": [
      "quant-ph",
      "physics.atom-ph"
    ],
    "doi": "10.1088/0305-4470/38/26/013",
    "journal_ref": "J. Phys. A: Math. Gen. 38, 6037 (2005)",
    "title": "A Bohmian approach to quantum fractals",
    "url": "https://arxiv.org/abs/quant-ph/0412050"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0c31bfdf-2f8f-43ab-bb47-0dbe465b06af",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}