{
  "annotation_id": "d0cc68b3-440a-411d-84ff-276703a102e8",
  "date_created": "2026-03-02T18:02:34.731000Z",
  "date_modified": "2026-03-02T18:02:34.731000Z",
  "file_hash": "8e568d3e459119636899b7ffeac91230383d4af24d4ecf3a964f6691d0a459af",
  "private": false,
  "record": {
    "abstract": "The aim of these two papers (I and II) is to try to give fundamental concepts\nof quantum kinematics to q-deformed quantum spaces. Paper I introduces the\nrelevant mathematical concepts. A short review of the basic ideas of q-deformed\nanalysis is given. These considerations are continued by introducing q-deformed\nanalogs of Fourier transformations and delta functions. Their properties are\ndiscussed in detail. Furthermore, q-deformed versions of sesquilinear forms are\ndefined, their basic properties are derived, and q-analogs of the\nFourier-Plancherel identity are proved. In paper II these reasonings are\napplied to wave functions on position and momentum space.",
    "arxiv_id": "quant-ph/0612173",
    "authors": [
      "Hartmut Wachter"
    ],
    "categories": [
      "quant-ph"
    ],
    "title": "Quantum kinematics on q-deformed quantum spaces I, Mathematical   Framework",
    "url": "https://arxiv.org/abs/quant-ph/0612173"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "b979c41e-f402-4c6d-9ba8-97ddc4c14eea",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}