{
  "abstract": "Following some recent results, we consider here a particular class of states on a $O^\\ast$-algebra $\\M$ which we call {\\em eigenstates of an element} $A\\in\\M$, and we deduce some of their properties. Then, we apply our definition to a family of ladder elements, i.e. elements of $\\M$ obeying certain algebraic (commutation) relations which are physically motivated, and we discuss several results for these states",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2611.04550",
  "author_total": 3,
  "authors": [
    {
      "name": "Fabio Bagarello"
    },
    {
      "name": "Hiroshi Inoue"
    },
    {
      "name": "Salvatore Triolo"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/003mmg8fbp0dx.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2611.04550",
  "fulltext_url": null,
  "id": "003mmg8fbp0dx",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2611.04550",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "math-ph"
    ],
    [
      "arxiv",
      "math.MP"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2611.04550",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/003mmg8fbp0dx.ris",
  "sources": [
    {
      "first_seen": "2026-11-04T15:21:25Z",
      "native_id": "2611.04550",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2611.04550"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    }
  ],
  "title": "Eigenstates on $O^\\ast$-algebras with an application to ladder operators",
  "title_text": "Eigenstates on O^∗-algebras with an application to ladder operators",
  "type": "preprint",
  "updated_at": "2026-11-06T18:21:01Z",
  "url": "https://research.draconitic.com/paper/003mmg8fbp0dx",
  "venue": "arXiv",
  "versions": []
}