{
  "annotation_id": "b039264e-cf69-4741-98fe-6546ac1a0465",
  "date_created": "2026-03-02T18:01:59.979000Z",
  "date_modified": "2026-03-02T18:01:59.979000Z",
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  "record": {
    "abstract": "Uncertainty relations for particle motion in curved spaces are discussed. The\nrelations are shown to be topologically invariant. New coordinate system on a\nsphere appropriate to the problem is proposed. The case of a sphere is\nconsidered in details. The investigation can be of interest for string and\nbrane theory, solid state physics (quantum wires) and quantum optics.",
    "arxiv_id": "quant-ph/0306080",
    "authors": [
      "A. V. Golovnev",
      "L. V. Prokhorov"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/37/7/017",
    "journal_ref": "J.Phys.A37:2765-2775,2004",
    "title": "Uncertainty relations in curved spaces",
    "url": "https://arxiv.org/abs/quant-ph/0306080"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "0ea27067-34a6-4909-8eb8-2e6526af0568",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}