{
  "annotation_id": "317b1e07-0938-48c5-a0ff-56464c50307f",
  "date_created": "2026-03-02T18:00:57.098000Z",
  "date_modified": "2026-03-02T18:00:57.098000Z",
  "file_hash": "dd4e17e7fe132c4b8c27431d4cf1ac40842ace1b87787c77f60c448dc38cf871",
  "private": false,
  "record": {
    "abstract": "We prove the bijectivity of the constraints of normalization and of the\nFermi-Coulomb hole charge sum rule at each electron position for approximate\nwave functions. This bijectivity is surprising in light of the fact that\nnormalization depends upon the probability of finding an electron at some\nposition, whereas the Fermi-Coulomb hole sum rule depends on the probability of\ntwo electrons staying apart because of correlations due to the Pauli exclusion\nprinciple and Coulomb repulsion. We further demonstrate the bijectivity of\nthese sum rules by example.",
    "arxiv_id": "physics/0502043",
    "authors": [
      "Xiao-Yin Pan",
      "Viraht Sahni",
      "Lou Massa"
    ],
    "categories": [
      "physics.chem-ph",
      "physics.atom-ph"
    ],
    "title": "Bijectivity of the Normalization and Fermi-Coulomb Hole Sum Rules for   Approximate Wave Functions",
    "url": "https://arxiv.org/abs/physics/0502043"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "7a704d69-b951-4a1c-b156-f15484e715b0",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}