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Open AccessArticle
A Non-Relativistic 2D Quantum System and Its Thermo-Magnetic Properties with a Generalized Pseudo-Harmonic Oscillator
by
Haifa I. Alrebdi
Haifa I. Alrebdi 1
,
Akpan N. Ikot
Akpan N. Ikot 2,3,*,
Ridha Horchani
Ridha Horchani 4,*
and
Uduakobong S. Okorie
Uduakobong S. Okorie 5,6
1
Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
2
Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Port Harcourt 500004, Nigeria
3
Western Caspian University, Baku 1001, Azerbaijan
4
Department of Physics, College of Science, Sultan Qaboos University, P. C. 123, Al-Khod, Muscat P.O. Box 36, Oman
5
Department of Physics, University of South Africa, Florida Campus, Johannesburg 1710, South Africa
6
Department of Physics, Akwa Ibom State University, Ikot Akpaden, P. M. B. 1167, Uyo 520221, Nigeria
*
Authors to whom correspondence should be addressed.
Mathematics 2024, 12(17), 2623; https://doi.org/10.3390/math12172623 (registering DOI)
Submission received: 29 July 2024
/
Revised: 15 August 2024
/
Accepted: 20 August 2024
/
Published: 24 August 2024
Abstract
In this work, we examine the thermo-magnetic characteristics and energy spectra of a system exposed to both magnetic and Aharonov–Bohm (AB) fields with the existence of an interaction potential that is pseudo-harmonic. Explicit calculations of the eigen-solutions are performed with the expanded Nikiforov–Uvarov formalism. The confluent Heun function is used to represent the equivalent wave functions. If the AB and magnetic fields are gone, quasi-degeneracy in the system’s energy levels is shown by a numerical analysis of the energy spectrum. Additionally, we provided a visual representation of how the AB and magnetic fields affected the system’s thermo-magnetic characteristics. Our results show a strong dependence of thermo-magnetic properties on temperature, screening parameters, external magnetic fields, and AB fields.
Share and Cite
MDPI and ACS Style
Alrebdi, H.I.; Ikot, A.N.; Horchani, R.; Okorie, U.S.
A Non-Relativistic 2D Quantum System and Its Thermo-Magnetic Properties with a Generalized Pseudo-Harmonic Oscillator. Mathematics 2024, 12, 2623.
https://doi.org/10.3390/math12172623
AMA Style
Alrebdi HI, Ikot AN, Horchani R, Okorie US.
A Non-Relativistic 2D Quantum System and Its Thermo-Magnetic Properties with a Generalized Pseudo-Harmonic Oscillator. Mathematics. 2024; 12(17):2623.
https://doi.org/10.3390/math12172623
Chicago/Turabian Style
Alrebdi, Haifa I., Akpan N. Ikot, Ridha Horchani, and Uduakobong S. Okorie.
2024. "A Non-Relativistic 2D Quantum System and Its Thermo-Magnetic Properties with a Generalized Pseudo-Harmonic Oscillator" Mathematics 12, no. 17: 2623.
https://doi.org/10.3390/math12172623
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