{
  "annotation_id": "a67e86fe-8c9e-49c5-9147-8c5aed3693df",
  "date_created": "2026-03-02T18:01:52.477000Z",
  "date_modified": "2026-03-02T18:01:52.477000Z",
  "file_hash": "2f2242fc798845fd646086381bce1753c2a4bdd66ee232f06416705792e3c7cf",
  "private": false,
  "record": {
    "abstract": "Properties of the fractional Schrodinger equation have been studied. We have\nproven the hermiticity of fractional Hamilton operator and established the\nparity conservation law for the fractional quantum mechanics. As physical\napplications of the fractional Schrodinger equation we have found the energy\nspectrum for a hydrogen-like atom - fractional \u0027\u0027Bohr atom\u0027\u0027 and the energy\nspectrum of fractional oscillator in the semiclassical approximation. A new\nequation for the fractional probability current density has been developed and\ndiscussed. We also discuss the relationships between the fractional and the\nstandard Schrodinger equations.",
    "arxiv_id": "quant-ph/0206098",
    "authors": [
      "N. Laskin"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevE.66.056108",
    "journal_ref": "Phys.Rev.E66:056108,2002",
    "title": "Fractional Schrodinger equation",
    "url": "https://arxiv.org/abs/quant-ph/0206098"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "8123c5e6-a14a-4535-9122-d410157461d8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}