{
  "annotation_id": "c0468e6b-3359-4866-9092-b645feb77d4a",
  "date_created": "2026-03-02T18:02:48.410000Z",
  "date_modified": "2026-03-02T18:02:48.410000Z",
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  "record": {
    "abstract": "Exact analytic solutions of the time dependent Schrodinger equation are\nproduced that exhibit a variety of vortex structures. The qualitative analysis\nof the motion of vortex lines is presented and various types of vortex behavior\nare identified. Vortex creation and annihilation and vortex interactions are\nillustrated in the special cases of the free motion, the motion in the harmonic\npotential, and in the constant magnetic field. Similar analysis of the vortex\nmotions is carried out also for a relativistic wave equation.",
    "arxiv_id": "quant-ph/9911007",
    "authors": [
      "Iwo Bialynicki-Birula",
      "Zofia Bialynicka-Birula",
      "Cezary Sliwa"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.61.032110",
    "journal_ref": "Phys. Rev. A 61, 032110 (2000)",
    "title": "Motion of vortex lines in quantum mechanics",
    "url": "https://arxiv.org/abs/quant-ph/9911007"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c9fbd3e7-5b8c-49db-a844-2103efd162ce",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}