{
  "annotation_id": "783f8517-ac66-4789-b358-bfafeb438538",
  "date_created": "2026-03-02T18:01:49.261000Z",
  "date_modified": "2026-03-02T18:01:49.261000Z",
  "file_hash": "d1bed5084cfc0c007b347a08259efc28d1f393965e4466d344b7b14a081e4bf5",
  "private": false,
  "record": {
    "abstract": "We consider changes of the topological charge of vortices in quantum\nmechanics by investigating analytical examples where the creation or\nannihilation of vortices occurs. In classical hydrodynamics of non-viscous\nfluids the Helmholtz-Kelvin theorem ensures that the velocity field circulation\nis conserved. We discuss applicability of the theorem in the hydrodynamical\nformulation of quantum mechanics showing that the assumptions of the theorem\nmay be broken in quantum evolution of the wavefunction leading to a change of\nthe topological charge.",
    "arxiv_id": "quant-ph/0202137",
    "authors": [
      "Bogdan Damski",
      "Krzysztof Sacha"
    ],
    "categories": [
      "quant-ph",
      "cond-mat"
    ],
    "doi": "10.1088/0305-4470/36/9/311",
    "journal_ref": "J. Phys. A 36, 2339 (2003).",
    "title": "Changes of the topological charge of vortices",
    "url": "https://arxiv.org/abs/quant-ph/0202137"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "cd58de6c-4600-4995-a0d0-a1ddfc9ddc11",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}