Solution of Klein-Gordon equation in D-dimension and its application in physical systems

The analytic and approximate solution of KG-equation in arbitrary dimension D are calculated by using Asymptotic Iteration Method. The system of some important type of potentials like harmonic oscillator potential, the Go'ldman-Krivchenkov potential and some exponential-type potentials such as Morse and Woods-Saxon potentials have been studied in the D-dimension. The corresponding eigenvalues are obtained. In addition, the total normalized eigenvectors are obtained after calculating normalization constant for each type of potentials. Furthermore, it is shown that application of Asymptotic Iteration Method in KG-equation gives the eigenvector solution in terms of the Gauss hypergeometric or its special cases using the wavefunction generator.