The Klein-Gordon equation with equal scalar and vector Bargmann potentials in D dimensions

Using an improved Greene-Aldrich approximation scheme to handle the centrifugal potential, we solve the D dimensional Klein-Gordon equation with equal scalar and vector Bargmann potentials with a non-zero angular momentum number. The equation giving the bound-state energy eigenvalues as well as the corresponding normalized radial wave functions are obtained. The particular cases of Hulten and Yukawa potentials are also discussed. A lower-bound for the energy levels is obtained and their behaviour with the parameters of the Bargmann potential is analysed.

Automated summary

Using an improved Greene-Aldrich approximation scheme, this paper solves the D-dimensional Klein-Gordon equation with equal scalar and vector Bargmann potentials and non-zero angular momentum number. The equation provides the bound-state energy eigenvalues and the corresponding normalized radial wave functions. The study also discusses the cases of Hulten and Yukawa potentials and analyzes the behavior of energy levels with the parameters of the Bargmann potential.