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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 211, Number 1, Pages 105–120
DOI: https://doi.org/10.4213/tmf10181 (Mi tmf10181) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Deformed ladder operators for the generalized one- and two-mode squeezed harmonic oscillator in the presence of a minimal length

F. A. Dossaa, G. Y.  H. Avossevoub

a Faculté des Sciences et Techniques, Université Nationale des Sciences, Technologies, Ingénieries et Mathématiques d'Abomey, Abomey, Bénin
b Institut de Mathématiques et de Sciences Physiques, Université d'Abomey-Calavi, Porto-Novo, Bénin
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DOI: https://doi.org/10.4213/tmf10181
Abstract: We construct the deformed ladder operators in the presence of a minimal length to study the one- and two-mode squeezed harmonic oscillator. The generalized Hamiltonian of the system is expressed in terms of a deformed $su(1,1)$ algebra. The realizations of this algebra allow us to convert the purely quantum mechanical problem of the model into a differential equation. By means of the Nikiforov–Uvarov method, the energy eigenvalues are obtained and the corresponding wave functions, in the momentum space, are expressed in terms of hypergeometric functions. Our study shows that the domain of existence of the energy levels is extended and this extension is due to the deformation parameter.
Keywords: harmonic oscillator, minimal length, ladder operators, deformed $su(1,1)$ algebra.
Received: 11.10.2021
Revised: 05.01.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 211, Issue 1, Pages 532–544
DOI: https://doi.org/10.1134/S0040577922040079
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Document Type: Article
Language: Russian
Citation: F. A. Dossa, G. Y.  H. Avossevou, “Deformed ladder operators for the generalized one- and two-mode squeezed harmonic oscillator in the presence of a minimal length”, TMF, 211:1 (2022), 105–120; Theoret. and Math. Phys., 211:1 (2022), 532–544
Citation in format AMSBIB
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\by F.~A.~Dossa, G.~Y.~~H.~Avossevou
\paper Deformed ladder operators for the~generalized one- and two-mode squeezed harmonic oscillator in the~presence of a minimal length
\jour TMF
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\vol 211
\issue 1
\pages 105--120
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\crossref{https://doi.org/10.4213/tmf10181}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...211..532D}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 211
\issue 1
\pages 532--544
\crossref{https://doi.org/10.1134/S0040577922040079}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85129283028}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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