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Article

A Non-Relativistic 2D Quantum System and Its Thermo-Magnetic Properties with a Generalized Pseudo-Harmonic Oscillator

by
Haifa I. Alrebdi
1,
Akpan N. Ikot
2,3,*,
Ridha Horchani
4,* and
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
(This article belongs to the Section Mathematical Physics)

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.
Keywords: energy spectra; thermo-magnetic properties; confluent Heun function; extended Nikiforov–Uvarov (ENU) method energy spectra; thermo-magnetic properties; confluent Heun function; extended Nikiforov–Uvarov (ENU) method

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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