Analytical solution of Klein Gordon equation Trigonometric Pӧschl-Teller potential using asymptotic iteration method

Abstract

Radial part of Klein Gordon equation for trigonometric Pӧschl-Teller potential was obtained within framework of a centrifugal term approximation. The relativistic energy spectrum and wave functions was obtain by using asymptotic iteration method. The value of relativistic energy was calculated numerically using Matlab 2013. The results showed that the relativistic energy is increasing due to the increase of potential constant and quantum number.

Asymptotic iteration method for solution of the Kratzer potential in D-dimensional Klein-Gordon equation

“…So it is useful to deal with quantum mechanics in higher dimensions. The higher dimensions system in quantum physics has been studied in many cases, such as the solution of Klein-Gordon equation in D-dimensions for Hulthen potential [1], [2], Manning-Rosen potential [4], Kratzer potential [7], Morse potential [8], Poschl-Teller potential including centrifugal term [9], Hylleraas Potential [10], trigonometric Poschl-Teller potential [11], and other.…”