{
  "annotation_id": "0e520f3b-ca9a-412d-8787-e0c74ff80c18",
  "date_created": "2026-03-02T18:01:04.124000Z",
  "date_modified": "2026-03-02T18:01:04.124000Z",
  "file_hash": "071ab98b52e80228a12c8248371551fbacb604a45166819e91affadf500407ed",
  "private": false,
  "record": {
    "abstract": "We present a method to filter a distribution so that it is confined within a\nsphere of given radius r_c and, simultaneously, whose Fourier transform is\noptimally confined within a sphere of radius k_c. Our procedure may have\nseveral applications in the field of electronic structure methods, like the\ngeneration of optimized pseudopotentials and localized pseudocore charge\ndistributions. As an example, we describe a particular application within the\nSIESTA method for density functional calculations, in removing the spurious\nrippling of the energy surface generated by the integrations in a real space\ngrid.",
    "arxiv_id": "physics/0512211",
    "authors": [
      "Eduardo Anglada",
      "Jose M. Soler"
    ],
    "categories": [
      "physics.comp-ph",
      "cond-mat.soft",
      "physics.atom-ph"
    ],
    "doi": "10.1103/PhysRevB.73.115122",
    "title": "Filtering a distribution simultaneously in real and Fourier space",
    "url": "https://arxiv.org/abs/physics/0512211"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "04460fe3-ce89-45c2-b248-1971f30fbad4",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}