Solutions of the Schrödinger equation with velocity-dependent potentials:a study on Kratzer, Mie and Hulthen potentials

Abstract

The effect of isotropic velocity-dependent potentials on the bound state energy eigenvalues of the Kratzer, Mie and Hulthen potentials is obtained for any quantum states in the presence of constant form factor ε(r)=γρ_0. The corresponding energy eigenvalues and eigenfunctions are determined for any quantum numbers n and l in the framework of the well-known Nikiforov-Uvarov method.