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Teoreticheskaya i Matematicheskaya Fizika, 2022, Volume 213, Number 3, Pages 495–504
DOI: https://doi.org/10.4213/tmf10282 (Mi tmf10282) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations

F. A. Dossaa, J. T. Koumagnonb, J. V. Hounguevoub, G. Y. H. Avossevoub

a Faculté des Sciences et Techniques, Université Nationale des Sciences, Technologies, Ingénierie et Mathématiques d'Abomey, Bénin
b Laboratoire de Recherche en Physique Théorique, Institut de Mathématiques et de Sciences Physiques, Université de Porto-Novo, Porto-Novo, Bénin
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DOI: https://doi.org/10.4213/tmf10282
Abstract: We study the dynamics of the Dirac oscillator in a magnetic field. The Heisenberg algebra is constructed in detail in the noncommutative phase space in the presence of minimal length. By means of the Nikiforov–Uvarov method, the energy eigenvalues are obtained exactly and the corresponding wave functions, in momentum space, are expressed in terms of hypergeometric functions.
Keywords: Dirac oscillator, deformed phase space, minimal length, Nikiforov–Uvarov method.
Received: 08.03.2022
Revised: 14.06.2022
English version:
Theoretical and Mathematical Physics, 2022, Volume 213, Issue 3, Pages 1738–1746
DOI: https://doi.org/10.1134/S0040577922120078
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: F. A. Dossa, J. T. Koumagnon, J. V. Hounguevou, G. Y. H. Avossevou, “Two-dimensional Dirac oscillator in a magnetic field in deformed phase space with minimal-length uncertainty relations”, TMF, 213:3 (2022), 495–504; Theoret. and Math. Phys., 213:3 (2022), 1738–1746
Citation in format AMSBIB
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\by F.~A.~Dossa, J.~T.~Koumagnon, J.~V.~Hounguevou, G.~Y.~H.~Avossevou
\paper Two-dimensional Dirac oscillator in a~magnetic field in deformed phase space with minimal-length uncertainty relations
\jour TMF
\yr 2022
\vol 213
\issue 3
\pages 495--504
\mathnet{http://mi.mathnet.ru/tmf10282}
\crossref{https://doi.org/10.4213/tmf10282}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4538880}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2022TMP...213.1738D}
\transl
\jour Theoret. and Math. Phys.
\yr 2022
\vol 213
\issue 3
\pages 1738--1746
\crossref{https://doi.org/10.1134/S0040577922120078}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85144830407}
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  • https://www.mathnet.ru/eng/tmf10282
  • https://doi.org/10.4213/tmf10282
  • https://www.mathnet.ru/eng/tmf/v213/i3/p495
    • This publication is cited in the following 2 articles:
    1. Md Moniruzzaman, Md Shariful Alam, Rivu Ranjan Mondal, “Classical Dynamical Consequences of the Particle in a Uniform Gravitational Field due to Minimal Length”, Int J Theor Phys, 64:2 (2025)  crossref
    2. Léonie Dagoudo, Finagnon Anselme Dossa, Gabriel Yves Hugues Avossevou, “Algebraic solution and thermodynamic properties for the one- and two-dimensional Dirac oscillator with minimal length uncertainty relations”, EPL, 147:1 (2024), 16001  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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    References:47
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