{
  "abstract": "We investigate the two-dimensional Dunkl--Pauli equation for a spin--$1/2$ particle in the presence of an external magnetic field within an algebraic framework. While previous studies have provided exact solutions of the Dunkl--Pauli system, its underlying dynamical symmetry and algebraic structure remain largely unexplored. By employing Schrödinger factorization, we construct the generators of the $\\mathfrak{su}(1,1)$ algebra and establish the associated symmetry of the radial sector. The energy spectrum is derived using irreducible unitary representations, and the corresponding Sturmian radial basis is obtained analytically. Furthermore, $\\mathrm{SU}(1,1)$ coherent states are constructed and their time evolution is analyzed, revealing a characteristic radial breathing behavior. The results show that the Dunkl deformation introduces parity-dependent modifications in the spatial structure of the system while preserving its underlying algebraic dynamics.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": "Journal reference: Phys. Scr. 101 (2026) 215101",
  "arxiv": "2609.31554",
  "author_total": 3,
  "authors": [
    {
      "name": "M. Salazar Ramírez"
    },
    {
      "name": "B. C. Lütfüoğlu"
    },
    {
      "name": "H. Bouguerne"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/3my64ce701pn2.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2609.31554",
  "fulltext_url": null,
  "id": "3my64ce701pn2",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2609.31554",
  "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",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2609.31554",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-25",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/3my64ce701pn2.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:25:12Z",
      "native_id": "2609.31554",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2609.31554"
    }
  ],
  "subjects": [
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Exact Solutions of the Dunkl--Pauli Equation in the Presence of a Magnetic Field from an su(1,1) Algebraic Approach",
  "title_text": "Exact Solutions of the Dunkl--Pauli Equation in the Presence of a Magnetic Field from an su(1,1) Algebraic Approach",
  "type": "preprint",
  "updated_at": "2026-10-30T12:25:12Z",
  "url": "https://research.draconitic.com/paper/3my64ce701pn2",
  "venue": "arXiv",
  "versions": [
    {
      "doi": "10.1088/1402-4896/ae6c6b",
      "pid": null,
      "relation": "published-as",
      "title": null,
      "venue": null
    }
  ]
}