{
  "annotation_id": "a5a40e62-6601-43c0-9ac9-7de99a2c2737",
  "date_created": "2026-03-02T18:02:20.425000Z",
  "date_modified": "2026-03-02T18:02:20.425000Z",
  "file_hash": "abc3516ed8436a7a2ad3b30fa0a561bc17d57cc0673de441efaeecc41c0682f9",
  "private": false,
  "record": {
    "abstract": "We give an explicit operator realization of Dirac quantization of free\nparticle motion on a surface of codimension 1. It is shown that the Dirac\nrecipe is ambiguous and a natural way of fixing this problem is proposed. We\nalso introduce a modification of Dirac procedure which yields zero quantum\npotential. Some problems of abelian conversion quantization are pointed out.",
    "arxiv_id": "quant-ph/0508044",
    "authors": [
      "Alexey V. Golovnev"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1142/S0219887806001326",
    "journal_ref": "International Journal of Geometric Methods in Modern Physics, Vol.\n  3, No. 4 (2006) 655-666",
    "title": "Dirac quantization of free motion on curved surfaces",
    "url": "https://arxiv.org/abs/quant-ph/0508044"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5fcfa6c3-0d83-4b32-8bc1-262463b7793f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}