{
  "annotation_id": "4dadf81a-25ea-41ba-a5dc-fd994e015045",
  "date_created": "2026-03-02T18:01:46.180000Z",
  "date_modified": "2026-03-02T18:01:46.180000Z",
  "file_hash": "27a1847b12c51da677998e2ff9b76e9689a9e887d3ae03bd6a24b82379184ae5",
  "private": false,
  "record": {
    "abstract": "We extend our previous analysis of the motion of vortex lines [I.\nBialynicki-Birula, Z. Bialynicka-Birula and C. Sliwa, Phys. Rev. A 61, 032110\n(2000)] from linear to a nonlinear Schroedinger equation with harmonic forces.\nWe also argue that under certain conditions the influence of the contact\nnonlinearity on the motion of vortex lines is negligible. The present analysis\nadds new weight to our previous conjecture that the topological features of\nvortex dynamics are to a large extent universal.",
    "arxiv_id": "quant-ph/0110145",
    "authors": [
      "Iwo Bialynicki-Birula",
      "Zofia Bialynicka-Birula"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.65.014101",
    "journal_ref": "Phys. Rev. A 65, 014101 (2002)",
    "title": "Motion of vortex lines in nonlinear wave mechanics",
    "url": "https://arxiv.org/abs/quant-ph/0110145"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "2c1f6f0b-4cd7-45ae-a489-d73b23d7d610",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}