{
  "annotation_id": "920830a7-bffe-4ed4-bad5-e9301d6126ed",
  "date_created": "2026-03-02T18:02:23.668000Z",
  "date_modified": "2026-03-02T18:02:23.668000Z",
  "file_hash": "b04395eca30ba1c4e440704c1b24052ba0ad90e5bd14e1081df37133e2ec63cb",
  "private": false,
  "record": {
    "abstract": "We study energy spectrum for hydrogen atom with deformed Heisenberg algebra\nleading to minimal length. We develop correct perturbation theory free of\ndivergences. It gives a possibility to calculate analytically in the 3D case\nthe corrections to $s$-levels of hydrogen atom caused by the minimal length.\nComparing our result with experimental data from precision hydrogen\nspectroscopy an upper bound for the minimal length is obtained.",
    "arxiv_id": "quant-ph/0603042",
    "authors": [
      "M. M. Stetsko",
      "V. M. Tkachuk"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1103/PhysRevA.74.012101",
    "journal_ref": "Phys. Rev. A. 74, 012101, 2006",
    "title": "Perturbation hydrogen-atom spectrum in deformed space with minimal   length",
    "url": "https://arxiv.org/abs/quant-ph/0603042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "53fc3167-f964-43d6-8ab5-79eb5902ee2f",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}