Regular Article

Thermodynamic properties of Aharanov–Bohm (AB) and magnetic fields with screened Kratzer potential

¹ Department of Physics, University of South Africa, Florida, Johannesburg 1710, South Africa
² Theoretical Physics Group, Department of Physics, University of Port Harcourt, Choba, Port Harcourt, Nigeria
³ Department of Physics, Akwa Ibom State University, Ikot Akpaden, P.M.B. 1167, Uyo, Nigeria
⁴ Division of Nuclear Physics, Advanced Institute of Materials Science, Ton Duc Thang University, Ho Chi Minh City, Vietnam
⁵ Faculty of Applied Sciences, Ton Duc Thang University, Ho Chi Minh City, Vietnam

^a e-mail: hewa.abdullah@tdtu.edu.vn

Received: 14 February 2020
Received in final form: 23 April 2020
Published online: 23 July 2020

Abstract

In this study, the Schrödinger equation (SE) with screened Kratzer potential (SKP) in the presence of external magnetic and AB-flux fields is investigated using the factorization method. The eigenvalue and eigenfunction for the system are obtained in closed form. It is found that the presence of the magnetic field partially removes the degeneracy when the screening parameter of the potential was small (α = 0.005) but the addition of the AB field removed the degeneracy faster and better. The magnetization and magnetic susceptibility of the system are evaluated at zero and finite temperatures and other thermodynamic properties of the system are discussed. More so, the presence of the AB-flux field makes the system to exhibit a both a paramagnetic and diamagnetic behavior. A straight forward extension of these results to three dimension shows that the present result is consistent with those obtained in literature.