{
  "annotation_id": "d412ea0e-0690-41e5-a5c4-e1b3131ce74a",
  "date_created": "2026-03-02T18:01:56.376000Z",
  "date_modified": "2026-03-02T18:01:56.376000Z",
  "file_hash": "98d539350942537c6053f22fa50507eef0dd676c3940018cd4ca1f3343c1992b",
  "private": false,
  "record": {
    "abstract": "Basic ideas about noncommuting coordinates are summarized, and then\ncoordinate noncommutativity, as it arises in the Landau problem, is\ninvestigated. I review a quantum solution to the Landau problem, and evaluate\nthe coordinate commutator in a truncated state space of Landau levels.\nRestriction to the lowest Landau level reproduces the well known commutator of\nplanar coordinates. Inclusion of a finite number of Landau levels yields a\nmatrix generalization.",
    "arxiv_id": "quant-ph/0302001",
    "authors": [
      "Gabrielle Magro"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.mes-hall",
      "hep-th"
    ],
    "title": "Noncommuting Coordinates in the Landau Problem",
    "url": "https://arxiv.org/abs/quant-ph/0302001"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "d915c5a5-e9cc-4c0d-93b9-8df6f04940d4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}