{
  "abstract": "Density functional theory is formally justified by an existence proof. As such, the need for computational methods to study the theory is a useful route to understanding the full theory. In this paper, we discuss the numerical strategies to efficiently evaluate computations for Kohn-Sham systems in one dimension and also methods for determining exact properties, including time-dependence. An accompanying library is also available for computing one-dimensional density functional theory and publicly available. The expressions used to implement the density functional in one-dimension are surveyed. An alternative justification for a gradient-based technique is also shown that can be applied to time-dependent evolution of the exact Kohn-Sham potential.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.26012",
  "author_total": 2,
  "authors": [
    {
      "name": "Thomas E. Baker"
    },
    {
      "name": "Kasey Chen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/f5tk8fgnvcjhj.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.26012",
  "fulltext_url": null,
  "id": "f5tk8fgnvcjhj",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.26012",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cond-mat.str-el"
    ],
    [
      "openalex",
      "3107|Advanced Chemical Physics Studies"
    ]
  ],
  "openalex": "W7223021698",
  "pdf_url": "https://arxiv.org/pdf/2610.26012",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-19",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/f5tk8fgnvcjhj.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:52Z",
      "native_id": "2610.26012",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.26012"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.str-el",
      "subfield": "condensed-matter"
    }
  ],
  "title": "Methods of density functional theory in one dimension",
  "title_text": "Methods of density functional theory in one dimension",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:41Z",
  "url": "https://research.draconitic.com/paper/f5tk8fgnvcjhj",
  "venue": "arXiv",
  "versions": []
}