{
  "abstract": "We show that circle-valued spectral values in Tate Rabinowitz Floer homology give rise to quantized energy levels, which recover the quantum mechanical spectrum of a system of uncoupled harmonic oscillators.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: SIGMA 22 (2026), 098, 18 pages",
  "arxiv": "2609.39951",
  "author_total": 2,
  "authors": [
    {
      "name": "Kai Cieliebak"
    },
    {
      "name": "Urs Frauenfelder"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/6mnwmjxza119w.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.39951",
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  "id": "6mnwmjxza119w",
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  "landing_url": "https://arxiv.org/abs/2609.39951",
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  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
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  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
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      "math-ph"
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  "pdf_url": "https://arxiv.org/pdf/2609.39951",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-14",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/6mnwmjxza119w.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:29:31Z",
      "native_id": "2609.39951",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.39951"
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SG",
      "subfield": "geometry-topology"
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    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
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  "title": "Spectral Numbers in Tate Rabinowitz Floer Homology",
  "title_text": "Spectral Numbers in Tate Rabinowitz Floer Homology",
  "type": "preprint",
  "updated_at": "2026-10-30T12:29:35Z",
  "url": "https://research.draconitic.com/paper/6mnwmjxza119w",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.3842/sigma.2026.098",
      "pid": "2dhgpk3f71qth",
      "relation": "published-as",
      "title": "Spectral Numbers in Tate Rabinowitz Floer Homology",
      "venue": "Symmetry, Integrability and Geometry: Methods and Applications"
    }
  ]
}