{
  "abstract": "We discuss a model of a soft waveguide described by Schrödinger operator whose potential is a twisted straight channel of non-circular profile. We show that a compactly supported twist makes the operator subcritical, the property being expressed in terms of a Hardy-type inequality. On the other hand, a periodic twist raises the essential spectrum and its local slowdown may give rise to isolated eigenvalues below the essential spectrum threshold.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.06558",
  "author_total": 2,
  "authors": [
    {
      "name": "Pavel Exner"
    },
    {
      "name": "David Spitzkopf"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/0fyrkja0dq47c.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.06558",
  "fulltext_url": null,
  "id": "0fyrkja0dq47c",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.06558",
  "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"
    ],
    [
      "arxiv",
      "math.MP"
    ],
    [
      "arxiv",
      "math.SP"
    ],
    [
      "arxiv",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.06558",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/0fyrkja0dq47c.ris",
  "sources": [
    {
      "first_seen": "2026-11-05T15:20:56Z",
      "native_id": "2611.06558",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.06558"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.SP",
      "subfield": "analysis-pdes"
    },
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Spectral properties of twisted soft waveguides",
  "title_text": "Spectral properties of twisted soft waveguides",
  "type": "preprint",
  "updated_at": "2026-11-09T00:20:30Z",
  "url": "https://research.draconitic.com/paper/0fyrkja0dq47c",
  "venue": "arXiv",
  "versions": []
}