{
  "annotation_id": "6be8d27d-7246-4c98-a3f4-a00f936f6a84",
  "date_created": "2026-03-02T18:02:47.660000Z",
  "date_modified": "2026-03-02T18:02:47.660000Z",
  "file_hash": "e35741f4fbb58ad90282b53747833d7ecc3738acd24c0df638a4199a1398b1f4",
  "private": false,
  "record": {
    "abstract": "We consider a single particle which is bound by a central potential and obeys\nthe Dirac equation. We compare two cases in which the masses are the same but\nVa \u003c Vb, where V is the time-component of a vector potential. We prove\ngenerally that for each discrete eigenvalue E whose corresponding (large and\nsmall) radial wave functions have no nodes, it necessarily follows that Ea \u003c\nEb. As an illustration, this general relativistic comparison theorem is applied\nto approximate the Dirac spectrum generated by a screened-Coulomb potential.",
    "arxiv_id": "quant-ph/9906042",
    "authors": [
      "Richard L. Hall"
    ],
    "categories": [
      "quant-ph",
      "math-ph",
      "math.MP"
    ],
    "doi": "10.1103/PhysRevLett.83.468",
    "journal_ref": "Phys.Rev.Lett. 83 (1999) 468-471",
    "title": "Spectral Comparison Theorem for the Dirac Equation",
    "url": "https://arxiv.org/abs/quant-ph/9906042"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "6093c1ae-fc1a-43e0-ba63-b3079eecb1da",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}