Klein-Gordon equation in higher dimensions via Feynman propagator with the modified second type Pöschl-Teller potential

Abstract

Recently, the Feynman approach has been used to study the solution of the D-dimensional Klein-Gordon equation under equal scalar and vector modified second type Pöschl-Teller potentials. Approximation has been made to the centrifugal term and space-time transformation is used to deal easily with the difficult computation problem. We found that there are positive energy states for bound states based on the condition for the wave functions. The results are in agreement with those obtained by using other methods found in the literature.