Solutions of the Klein-Gordon equation with the improved Manning-Rosen potential energy model in D dimensions

Abstract

We solve the Klein-Gordon equation with the improved Manning-Rosen potential energy model in D spatial dimensions. The relativistic bound state energy equation and the unnormalized radial wave functions have been obtained. For fixed vibrational quantum number and various rotational quantum numbers, the relativistic energies for the a 3 Σ + states of the 7Li2 molecule increase as D increases. We observe that the change behavior of the relativistic vibrational energies in higher dimensions remains similar to that of the three-dimensional system.