{
  "annotation_id": "f91f9f39-d00f-43d6-88bf-b666d75eabae",
  "date_created": "2026-03-02T18:02:34.103000Z",
  "date_modified": "2026-03-02T18:02:34.103000Z",
  "file_hash": "3bb40da764c67a0ecd9d09c9d57011d006fc67e7d7e5acdc77bdc743b3a8a713",
  "private": false,
  "record": {
    "abstract": "In the one-dimensional periodic potential case, we formulate the condition of\nBloch periodicity for the reduced action by using the relation between the wave\nfunction and the reduced action established in the context of the equivalence\npostulate of quantum mechanics. Then, without appealing to the wave function\nproperties, we reproduce the well-known dispersion relations which predict the\nband structure for the energy spectrum in the Kr\\\"onig-Penney model.",
    "arxiv_id": "quant-ph/0703016",
    "authors": [
      "A. Bouda",
      "A. Mohamed Meziane"
    ],
    "categories": [
      "quant-ph",
      "hep-th"
    ],
    "doi": "10.1007/s10773-006-9206-0",
    "journal_ref": "Int.J.Theor.Phys.45:2377,2006",
    "title": "Band theory in the context of the Hamilton-Jacobi formulation",
    "url": "https://arxiv.org/abs/quant-ph/0703016"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f4322314-4953-46f7-b5ed-0e9b4cf770d8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}