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

Haifa I. Alrebdi, Akpan N. Ikot (), Ridha Horchani () and Uduakobong S. Okorie
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Haifa I. Alrebdi: Department of Physics, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Akpan N. Ikot: Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Port Harcourt 500004, Nigeria
Ridha Horchani: Department of Physics, College of Science, Sultan Qaboos University, P. C. 123, Al-Khod, Muscat P.O. Box 36, Oman
Uduakobong S. Okorie: Department of Physics, University of South Africa, Florida Campus, Johannesburg 1710, South Africa

Mathematics, 2024, vol. 12, issue 17, 1-17

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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