{
  "annotation_id": "7c8d9aef-9b52-40b8-97c6-f232858aa866",
  "date_created": "2026-03-02T18:02:00.148000Z",
  "date_modified": "2026-03-02T18:02:00.148000Z",
  "file_hash": "c408ec954fb923d65bb0b1594984a238c8dd04f687d08f703298abb8a3324584",
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  "record": {
    "abstract": "A new approach to deformation quantization on the cylinder considered as\nphase space is presented. The method is based on the standard Moyal formalism\nfor R^2 adapted to (S^1 x R) by the Weil--Brezin--Zak transformation. The\nresults are compared with other solutions of this problem presented by\nKasperkovitz and Peev (Ann. Phys. vol. 230, 21 (1994)0 and by Plebanski and\ncollaborators (Acta Phys. Pol. vol. B 31}, 561 (2000)). The equivalence of\nthese three methods is proved.",
    "arxiv_id": "quant-ph/0306010",
    "authors": [
      "Jose A. Gonzalez",
      "Mariano A del Olmo",
      "Jaromir Tosiek"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/1464-4266/5/3/362",
    "journal_ref": "J. Optics B: Quantum and Semiclassical Optics ... (2003)",
    "title": "Quantum Mechanics on the cylinder",
    "url": "https://arxiv.org/abs/quant-ph/0306010"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4170c69c-9620-451b-857a-4953b7f3e160",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}