{
  "annotation_id": "73fb8c05-a990-4c51-9e3d-0cc306774cc7",
  "date_created": "2026-03-02T18:02:17.043000Z",
  "date_modified": "2026-03-02T18:02:17.043000Z",
  "file_hash": "a50a9ebad53531ffdaea28e1fdf1d8e9fc3b27ce873485265960f43c68411c98",
  "private": false,
  "record": {
    "abstract": "It is shown that, for isolated many-electron Coulomb systems with Coulombic\nexternal potentials, the usual reductio ad absurdum proof of the Hohenberg-Kohn\ntheorem is unsatisfactory since the to-be-refuted assumption made about the\none-electron densities and the assumption about the external potentials are not\ncompatible with the Kato cusp condition. The theorem is, however, provable by\nmore sophisticated means and it is shown here that the Kato cusp condition\nactually leads to a satisfactory proof.",
    "arxiv_id": "quant-ph/0504114",
    "authors": [
      "Eugene S. Kryachko"
    ],
    "categories": [
      "quant-ph",
      "cond-mat.other",
      "nucl-th",
      "physics.chem-ph"
    ],
    "doi": "10.1002/qua.20539",
    "title": "On the Original Proof by Reductio ad Absurdum of the Hohenberg-Kohn   Theorem for Many-Electron Coulomb Systems",
    "url": "https://arxiv.org/abs/quant-ph/0504114"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "93582286-83b8-4423-a762-87e60c0954d3",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}