The Klein–Gordon equation with a generalized Morse potential in D-dimensions
Department of Physics, College of Education, University of Sulaimani, Sulaymaniyah, Iraq
2 Engineering of Physics Department, University of Gaziantep, Gaziantep, Turkey
Accepted: 13 July 2021
Published online: 7 October 2021
An approximate analytic solution of the Klein–Gordon equation with equal vector and scalar Morse potential for the arbitrary angular momentum values is presented. The corresponding energy eigenvalues and eigenfunctions in D-dimensions are obtained explicitly within the framework of an approximation to the centrifugal potential for any l-states by means of the asymptotic iteration method. In the view of AIM, the total normalized eigenfunctions are derived in terms of the Gauss hypergeometric function.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2021