Solution of Klein Gordon equation for trigonometric cotangent potential in the presence of a minimal length using Asymptotic Iteration Method

Abstract

Analysis of energy eigenvalue and wave function for Klein Gordon equation within minimal length formalism which was influenced by trigonometric cotangent potential has done. Asymptotic iteration method was used to solve the modified Klein Gordon equation to obtain energy eigenvalueand wave function. The energy eigenvalue was calculated numerically using Matlab software, and the general unnormalized wave function was expressed in hypergeometric terms. The results showed that the energy eigenvalue within the minimal length formalism was higher than energy eigenvalue without the minimal length formalism. The energy eigenvalue increased by the increase of minimal length parameters. The minimal length parameter caused the shape changein wave functions.