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

Author

Listed:
  • 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
    Western Caspian University, Baku 1001, Azerbaijan)

  • 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
    Department of Physics, Akwa Ibom State University, Ikot Akpaden, P. M. B. 1167, Uyo 520221, Nigeria)

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.

Suggested Citation

  • Haifa I. Alrebdi & Akpan N. Ikot & Ridha Horchani & Uduakobong S. Okorie, 2024. "A Non-Relativistic 2D Quantum System and Its Thermo-Magnetic Properties with a Generalized Pseudo-Harmonic Oscillator," Mathematics, MDPI, vol. 12(17), pages 1-17, August.
    • Handle: RePEc:gam:jmathe:v:12:y:2024:i:17:p:2623-:d:1463311
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