{
  "abstract": "We prove that, for any given sufficiently regular one-particle density, there exists a unique external potential for which the solution to the many-body Schrödinger equation has this prescribed density. This implies in particular that one can exactly reproduce the time-dependent density of an interacting system using non-interacting electrons, which is at the heart of time-dependent density functional theory. Our result covers the Coulomb interaction and densities arising from extended nuclei.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.08984",
  "author_total": 3,
  "authors": [
    {
      "name": "Asbjørn Bækgaard Lauritsen"
    },
    {
      "name": "Mathieu Lewin"
    },
    {
      "name": "Jakob Oldenburg"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/cb39bkrsd2rvw.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.08984",
  "fulltext_url": null,
  "id": "cb39bkrsd2rvw",
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  "landing_url": "https://hal.science/hal-05744835v1",
  "language": "en",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
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      "arxiv",
      "cond-mat.mtrl-sci"
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      "2610|Spectral Theory in Mathematical Physics"
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  "openalex": "W7212018311",
  "pdf_url": "https://arxiv.org/pdf/2609.08984",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-08",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/cb39bkrsd2rvw.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:33Z",
      "native_id": "hal-05744835",
      "source": "hal",
      "url": "https://hal.science/hal-05744835v1"
    },
    {
      "first_seen": "2026-10-30T12:22:19Z",
      "native_id": "2609.08984",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.08984"
    }
  ],
  "subjects": [
    {
      "field": "chemistry",
      "origin": "arxiv:physics.chem-ph",
      "subfield": "physical"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:cond-mat.mtrl-sci",
      "subfield": "condensed-matter"
    }
  ],
  "title": "The inverse problem of time-dependent density functional theory on the torus",
  "title_text": "The inverse problem of time-dependent density functional theory on the torus",
  "type": "preprint",
  "updated_at": "2026-10-30T12:22:23Z",
  "url": "https://research.draconitic.com/paper/cb39bkrsd2rvw",
  "venue": "HAL",
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}