{
  "annotation_id": "49ec863a-ce1b-4d32-9a9c-53e1bdb0cab9",
  "date_created": "2026-03-02T18:00:46.159000Z",
  "date_modified": "2026-03-02T18:00:46.159000Z",
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  "record": {
    "abstract": "A new approach to finite basis sets for the Dirac equation is developed. It\nsolves the problem of spurious states and, as a result, improves the\nconvergence properties of basis set calculations. The efficiency of the method\nis demonstrated for finite basis sets constructed from B splines by calculating\nthe one-loop self-energy correction for a hydrogenlike ion.",
    "arxiv_id": "physics/0308083",
    "authors": [
      "V. M. Shabaev",
      "I. I. Tupitsyn",
      "V. A. Yerokhin",
      "G. Plunien",
      "G. Soff"
    ],
    "categories": [
      "physics.atom-ph",
      "physics.atm-clus"
    ],
    "doi": "10.1103/PhysRevLett.93.130405",
    "journal_ref": "Phys. Rev. Lett. 93, 130405 (2004)",
    "title": "Dual kinetic balance approach to basis set expansions for the Dirac   equation",
    "url": "https://arxiv.org/abs/physics/0308083"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "f33bfbdb-9f70-4940-a54f-258aca552f42",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}