{
  "annotation_id": "134407f2-4106-41c8-b057-df6ad3a42db2",
  "date_created": "2026-03-02T18:00:04.909000Z",
  "date_modified": "2026-03-02T18:00:04.909000Z",
  "file_hash": "4f8f9dd57ba282908b0f6c7efe7d85d1027c201ae7f4fd6f53520cb92bc99279",
  "private": false,
  "record": {
    "abstract": "Special bases of orthogonal polynomials are defined, that are suited to\nexpansions of density and potential perturbations under strict particle number\nconservation. Particle-hole expansions of the density response to an arbitrary\nperturbation by an external field can be inverted to generate a mapping between\ndensity and potential. Information is obtained for derivatives of the\nHohenberg-Kohn functional in density space. A truncation of such an information\nin subspaces spanned by a few modes is possible. Numerical examples illustrate\nthese algorithms.",
    "arxiv_id": "nucl-th/0504075",
    "authors": [
      "B. G. Giraud",
      "A. Weiguny",
      "L. Wilets"
    ],
    "categories": [
      "nucl-th",
      "math-ph",
      "math.MP",
      "physics.atom-ph"
    ],
    "doi": "10.1016/j.nuclphysa.2005.07.012",
    "journal_ref": "Nucl.Phys. A761 (2005) 22-40",
    "title": "Coordinates, modes and maps for the density functional",
    "url": "https://arxiv.org/abs/nucl-th/0504075"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "99472244-a12d-4fee-9f5d-7ea1456f5c86",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}