{
  "annotation_id": "23385281-02f4-4e94-b441-dacf7bc5d42e",
  "date_created": "2026-03-02T18:00:39.531000Z",
  "date_modified": "2026-03-02T18:00:39.531000Z",
  "file_hash": "014927c3600d13f4ced0e20c8526c4734076a68df360d2383a3886a62343828c",
  "private": false,
  "record": {
    "abstract": "The Dirac equation is generalized to $D+1$ space-time.The conserved angular\nmomentum operators and their quantum numbers are discussed. The eigenfunctions\nof the total angular momenta are calculated for both odd $D$ and even $D$\ncases. The radial equations for a spherically symmetric system are derived. The\nexact solutions for the system with a Coulomb potential are obtained\nanalytically. The energy levels and the corresponding fine structure are also\npresented.",
    "arxiv_id": "physics/0209039",
    "authors": [
      "Xiao-Yan Gu",
      "Zhong-Qi Ma",
      "Shi-Hai Dong"
    ],
    "categories": [
      "physics.atom-ph"
    ],
    "doi": "10.1142/S0218301302000879",
    "title": "Exact solutions to the Dirac equation for a Coulomb potential in $D+1$   dimensions",
    "url": "https://arxiv.org/abs/physics/0209039"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "c537fc9a-6da0-474b-b642-d2ff9a030427",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}