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Edet Asuquo Thompson
University of Calabar, Nigeria
Education Materials Science & Nanotechnology Physics

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Analytical investigation of spin-orbit interaction effect on Hulthen potential model using perturbation theory Edet Asuquo Thompson; Samuel Inyang
Journal of Physics: Theories and Applications Vol 10, No 1 (2026): Journal of Physics: Theories and Applications
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20961/jphystheor-appl.v10i1.114129

Abstract

Abstract: This study investigates the effect of Spin-Orbit interaction on Hulthén potential model within the non-relativistic quantum mechanical domain. The Schrödinger equation is solved for a particle with spin degree of freedom moving in a central force field modelled by the Hulthén potential. The Spin-Orbit interaction is viewed as a form of perturbation. Hence the perturbation theory is applied to correct the energy eigenvalues of the Hulthén system, thereby revealing the effect of Spin-Orbit effect. The results of this study shows that the energy levels of the Hulthén potential splits according to the j = ℓ ± 1⁄2 scheme except for ℓ = 0. This makes the Hulthén potential model suitable for a system with spin degree of freedom within the non-relativistic quantum mechanics. Also, Schrödinger equation which is apt for a spinless particle can be applied to study a system with spin degree of freedom by treating the Spin-Orbit interaction as a form of perturbation.
Co-Authors Samuel Inyang