Journal of Physics: Theories and Applications
Vol 10, No 1 (2026): Journal of Physics: Theories and Applications

Analytical investigation of spin-orbit interaction effect on Hulthen potential model using perturbation theory

Edet Asuquo Thompson (University of Calabar, Nigeria)
Samuel Inyang (University of Calabar)



Article Info

Publish Date
31 Mar 2026

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.

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Journal Info

Abbrev

jphystheor-appl

Publisher

Subject

Education Materials Science & Nanotechnology Physics

Description

Journal of Physics: Theories and Applications (cited as J. Phys.: Theor. Appl.) is a peer-reviewed and open access journal, which is published twice a year by Physics Department, Sebelas Maret University. The journal is designed to serve researchers, developers, professionals, graduate students and ...