{
  "annotation_id": "abc95c64-88a5-4b27-8553-0848814a92fa",
  "date_created": "2026-03-02T18:02:13.742000Z",
  "date_modified": "2026-03-02T18:02:13.742000Z",
  "file_hash": "ffda5a89fbd9ff5015ea72c1f75e60020dfb29bd73e04a88ef50e257eac48f5e",
  "private": false,
  "record": {
    "abstract": "A Dirac particle in general dimensions moving in a 1/r potential is shown to\nhave an exact N = 2 supersymmetry, for which the two supercharge operators are\nobtained in terms of (a D-dimensional generalization of) the Johnson-Lippmann\noperator, an extension of the Runge-Lenz-Pauli vector that relativistically\nincorporates spin degrees of freedom. So the extra symmetry (S(2))in the\nquantum Kepler problem, which determines the degeneracy of the levels, is so\nrobust as to accommodate the relativistic case in arbitrary dimensions.",
    "arxiv_id": "quant-ph/0410174",
    "authors": [
      "Hosho Katsura",
      "Hideo Aoki"
    ],
    "categories": [
      "quant-ph"
    ],
    "doi": "10.1063/1.2173173",
    "journal_ref": "J.Math.Phys. 47 (2006) 032301",
    "title": "Exact supersymmetry in the relativistic hydrogen atom in general   dimensions -- supercharge and the generalized Johnson-Lippmann operator",
    "url": "https://arxiv.org/abs/quant-ph/0410174"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "9e292830-c88d-4e66-95e4-e64c8468577c",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}