{
  "annotation_id": "52ab88f2-6650-45e6-99b6-3efe7ac6e508",
  "date_created": "2026-03-02T18:02:20.091000Z",
  "date_modified": "2026-03-02T18:02:20.091000Z",
  "file_hash": "273447520c180d3c3242abba32d012e8c07e90e43f17db2ec8db24303c9ed383",
  "private": false,
  "record": {
    "abstract": "We consider the thin layer quantization with use of only the most elementary\nnotions of differential geometry. We consider this method in higher dimensions\nand get an explicit formula for quantum potential. For codimension 1 surfaces\nthe quantum potential is presented in terms of principal curvatures, and\nequivalence with Prokhorov quantization method is proved. It is shown that, in\ncontrast with original da Costa method, Prokhorov quantization can be\ngeneralized directly to higher codimensions.",
    "arxiv_id": "quant-ph/0508111",
    "authors": [
      "Alexey V. Golovnev"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2213787",
    "journal_ref": "Journal of Mathematical Physics, Vol. 47, No. 8, 082105 (2006)",
    "title": "Thin layer quantization in higher dimensions and codimensions",
    "url": "https://arxiv.org/abs/quant-ph/0508111"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4d8ce681-ed4f-4fff-afc1-a5fcda190eef",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}