{
  "annotation_id": "15b83d37-4675-4eec-9e8a-66f473b7425a",
  "date_created": "2026-03-02T18:02:34.502000Z",
  "date_modified": "2026-03-02T18:02:34.502000Z",
  "file_hash": "da441a6d3998b5ad69cddfb446a9236aa3f8f4a343a13c453f3c1f8cd9c10c26",
  "private": false,
  "record": {
    "abstract": "The $D$-dimensional two-parameter deformed algebra with minimal length\nintroduced by Kempf is generalized to a Lorentz-covariant algebra describing a\n($D+1$)-dimensional quantized space-time. For D=3, it includes Snyder algebra\nas a special case. The deformed Poincar\\\u0027e transformations leaving the algebra\ninvariant are identified. Uncertainty relations are studied. In the case of D=1\nand one nonvanishing parameter, the bound-state energy spectrum and\nwavefunctions of the Dirac oscillator are exactly obtained.",
    "arxiv_id": "quant-ph/0612093",
    "authors": [
      "C. Quesne",
      "V. M. Tkachuk"
    ],
    "categories": [
      "quant-ph",
      "hep-th",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1007/s10582-006-0436-4",
    "journal_ref": "Czech.J.Phys.56:1269-1274,2006",
    "title": "Lorentz-covariant deformed algebra with minimal length",
    "url": "https://arxiv.org/abs/quant-ph/0612093"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "dfb4fa49-18cf-4376-b842-ece90250379c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}