{
  "annotation_id": "6a9b8bfc-22b5-4621-8f74-a3a95941d494",
  "date_created": "2026-03-02T18:01:14.627000Z",
  "date_modified": "2026-03-02T18:01:14.627000Z",
  "file_hash": "20a76dbfc5312aa498118d5dd00d95847369af68600882ac028a2e955cea71e1",
  "private": false,
  "record": {
    "abstract": "The four center integrals needed in the Hartree Fock approximation and in\nTDDFT linear response are known to be difficult to calculate for orbitals of\nthe Slater type or of finite range. We show that the interaction of pairs of\nproducts that do not mutually intersect may be replaced by the interaction of\ntheir moments, of which there are O(N). Only quadruplets of orbitals \u0027close\u0027 to\none another need an explicit calculation and the total calculational effort\ntherefore scales as O(N). We provide a new and concise proof of this\n\"interaction by moments\" property.",
    "arxiv_id": "physics/0612187",
    "authors": [
      "Dietrich Foerster"
    ],
    "categories": [
      "physics.chem-ph"
    ],
    "title": "On an \"interaction by moments\" property of four center integrals",
    "url": "https://arxiv.org/abs/physics/0612187"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "5f8e9ed9-651d-4903-a0eb-bbf975ad69d8",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}