{
  "abstract": "In this paper we study $2d$-dimensional canonical systems with positive semidefinite Hamiltonians $H(t)$ satisfying $\\operatorname{tr} H(t) \\equiv 1$. We first establish that every such system possesses at least one nontrivial $H$-integrable solution, ensuring the existence of solutions whose energy with respect to $H$ remains finite. We then show that the space of all $H$-integrable solutions has dimension at most $d$.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2609.13208",
  "author_total": 1,
  "authors": [
    {
      "name": "Keshav Raj Acharya"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/5py55tt2c05e9.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.13208",
  "fulltext_url": null,
  "id": "5py55tt2c05e9",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.13208",
  "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",
      "math-ph"
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      "arxiv",
      "math.DS"
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      "arxiv",
      "math.MP"
    ],
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      "openalex",
      "2610|Spectral Theory in Mathematical Physics"
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  "openalex": "W7213286000",
  "pdf_url": "https://arxiv.org/pdf/2609.13208",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-01",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/5py55tt2c05e9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:21:25Z",
      "native_id": "2609.13208",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.13208"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.DS",
      "subfield": "dynamical-systems"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "H-integrable solutions to 2d dimensional canonical systems",
  "title_text": "H-integrable solutions to 2d dimensional canonical systems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:21:29Z",
  "url": "https://research.draconitic.com/paper/5py55tt2c05e9",
  "venue": "arXiv",
  "versions": []
}