Influence of External Magnetic and Aharanov-Bohm (AB) Fields on the Energy Spectra of the Modified Kratzer plus Screened Coulomb Potential

E B Ettah E B Ettah,M E Ishaje M E Ishaje

doi:10.30574/wjaets.2022.5.1.0030

Abstract

In this article, the modified Kratzer plus screened Coulomb potential is scrutinized taking into consideration the effects of magnetic and AB flux fields within the non-relativistic regime using the Nikiforov-Uvarov-Functional Analysis method (NUFA) method. The energy equation and wave function of the system are obtained in close form. We find that the totality of effects these fields result in removal of degeneracy and raising the bound state energy of the system. More so, it could be concluded that to control the energy spectra of this system, the AB-flux and magnetic field will do so greatly. The results from this study can be applied in condensed matter physics, atomic and molecular physics.

Highlights

In the last two decades, research in the direction of non-relativistic quantum mechanics (QM) have drawn the attention of researchers to a great extent
We observe that when both fields are absent, there exist degeneracy in the energy spectra
As the strength of the magnetic field is raised so is the energy. This suggests that the energy values of the Modified Kratzer plus Screened Coulomb Potentials (MKSCP) can be altered or regulated to a highest level by the application a strong magnetic field

Summary

Introduction

In the last two decades, research in the direction of non-relativistic quantum mechanics (QM) have drawn the attention of researchers to a great extent. Researchers have focused on the solutions of the Schrödinger equation (SE) with several interaction potential models. This because its solutions provides relevant information about the quantum system [110]. Solutions of the SE with several have been applied to study many physical systems, example; quantum dots [11], quarks [12], diatomic molecules [13], etc. Amongst the numerous potentials proposed and adopted for such studies over the years is the modified Kratzer plus screened Coulomb potential proposed by Edet et al [14].

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Conclusion