{
  "abstract": "In this paper, we study the large time behavior of solutions to the linearized Hartree equation near a stable equilibrium which is homogeneous in space and investigate the quantum Landau damping. This allows us to get time decay of the electric field, uniformly in the Planck constant, as well as the uniform-in-time convergence of the quantum density towards the classical density as the Planck constant converges to 0.",
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  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.02040",
  "author_total": 4,
  "authors": [
    {
      "name": "Dongfen Bian"
    },
    {
      "name": "Emmanuel Grenier"
    },
    {
      "name": "Laurent Lafleche"
    },
    {
      "name": "Quoc Hung Nguyen"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/4f3dwpcndfedk.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.02040",
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  "id": "4f3dwpcndfedk",
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  "landing_url": "https://hal.science/hal-05737651v1",
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  "metadata_licence": "CC0-1.0",
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      "2610|Advanced Mathematical Physics Problems"
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  "openalex": "W7207517290",
  "pdf_url": "https://arxiv.org/pdf/2609.02040",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/4f3dwpcndfedk.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:27Z",
      "native_id": "hal-05737651",
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      "url": "https://hal.science/hal-05737651v1"
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    {
      "first_seen": "2026-10-30T12:18:20Z",
      "native_id": "2609.02040",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.02040"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.AP",
      "subfield": "analysis-pdes"
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    {
      "field": "mathematics",
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      "subfield": "mathematical-physics"
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    {
      "field": "physics",
      "origin": "hal:1.phys.qphy",
      "subfield": "quantum"
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  ],
  "title": "Quantum Landau Damping with Coulomb Repulsion in the Whole Space",
  "title_text": "Quantum Landau Damping with Coulomb Repulsion in the Whole Space",
  "type": "preprint",
  "updated_at": "2026-10-30T12:18:20Z",
  "url": "https://research.draconitic.com/paper/4f3dwpcndfedk",
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