{
  "annotation_id": "1763fd2a-2aa3-496d-a481-bee9ee667d81",
  "date_created": "2026-03-02T18:01:07.403000Z",
  "date_modified": "2026-03-02T18:01:07.403000Z",
  "file_hash": "a5c7d0bfbaf3dd3d2cd759486f1e3bd7674b09c9f8cb9613f51360e36ebb24af",
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  "record": {
    "abstract": "We analyze a decomposition of the Coulomb electron-electron interaction into\na long-range and a short-range part in the framework of density functional\ntheory, deriving some scaling relations and the corresponding virial theorem.\nWe study the behavior of the local density approximation in the high-density\nlimit for the long-range and the short-range functionals by carrying out a\ndetailed analysis of the correlation energy of a uniform electron gas\ninteracting via a long-range only electron-electron repulsion. Possible\ndefinitions of exchange and correlation energy densities are discussed and\nclarified with some examples.",
    "arxiv_id": "physics/0605023",
    "authors": [
      "Julien Toulouse",
      "Paola Gori-Giorgi",
      "Andreas Savin"
    ],
    "categories": [
      "physics.chem-ph"
    ],
    "doi": "10.1002/qua.20813",
    "journal_ref": "Int. J. Quantum Chem. 106, 2026 (2006)",
    "title": "Scaling relations, virial theorem and energy densities for long-range   and short-range density functionals",
    "url": "https://arxiv.org/abs/physics/0605023"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "bfc11847-c34c-476a-b602-725a05bcc184",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}