{
  "abstract": "The aim of this work is to define and investigate the generalized Jaynes-Cummings (JC) Hamiltonian by means of supersymmetric (SUSY) quantum mechanics methods. We have considered trigonometric and hyperbolic Pöschl-Teller (PT) potentials as two natural ingredients to modify the standard JC model. We show that these generalized JC Hamiltonians have a list of characteristics in common with the JC Hamiltonian, for example: matrix intertwining, excitation number symmetry, Rabi frequency, formulas for atomic inversion and classical and revival times. Therefore, we conclude that JC Hamiltonians can be considered as one example of a wider a class of generalized Hamiltonians which can be useful in broader interaction problems.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.39401",
  "author_total": 4,
  "authors": [
    {
      "name": "İsmail Burak Ateş"
    },
    {
      "name": "Şengül Kuru"
    },
    {
      "name": "Javier Negro"
    },
    {
      "name": "Efe Serbest"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/c7b0wkfqgsc6x.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.39401",
  "fulltext_url": null,
  "id": "c7b0wkfqgsc6x",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.39401",
  "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",
      "quant-ph"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.39401",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-29",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/c7b0wkfqgsc6x.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:36:23Z",
      "native_id": "2610.39401",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.39401"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math-ph",
      "subfield": "mathematical-physics"
    },
    {
      "field": "physics",
      "origin": "arxiv:quant-ph",
      "subfield": "quantum"
    }
  ],
  "title": "Pöschl-Teller type of Jaynes-Cummings Hamiltonians: SUSY transformations",
  "title_text": "Pöschl-Teller type of Jaynes-Cummings Hamiltonians: SUSY transformations",
  "type": "preprint",
  "updated_at": "2026-11-01T12:20:50Z",
  "url": "https://research.draconitic.com/paper/c7b0wkfqgsc6x",
  "venue": "arXiv",
  "versions": []
}