{
  "annotation_id": "b1a9b572-7d73-4b7a-a340-62c806f4a7ed",
  "date_created": "2026-03-02T18:02:47.322000Z",
  "date_modified": "2026-03-02T18:02:47.322000Z",
  "file_hash": "16955b05dd04f556492ba8042eec70a78b2f3cc80ff42fbf5d95e25e8f9eed3f",
  "private": false,
  "record": {
    "abstract": "We propose a new approach to calculate perturbatively the effects of a\nparticular deformed Heisenberg algebra on energy spectrum. We use this method\nto calculate the harmonic oscillator spectrum and find that corrections are in\nagreement with a previous calculation. Then, we apply this approach to obtain\nthe hydrogen atom spectrum and we find that splittings of degenerate energy\nlevels appear. Comparison with experimental data yields an interesting upper\nbound for the deformation parameter of the Heisenberg algebra.",
    "arxiv_id": "quant-ph/9905033",
    "authors": [
      "F. Brau"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1088/0305-4470/32/44/308",
    "journal_ref": "J.Phys.A32:7691-7696,1999",
    "title": "Minimal Length Uncertainty Relation and Hydrogen Atom",
    "url": "https://arxiv.org/abs/quant-ph/9905033"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "4fdfd888-f41a-4b49-9f87-4b467209d87b",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}