N-Dimensional Solutions of Klein-Gordon Particles for Scaled Molecular Potential via Highly-Accurate Approximation

Authors : Hasan Fatih KİSOGLU

Pages : 97-103

Doi:10.17350/HJSE19030000079

View : 19 | Download : 9

Publication Date : 2018-06-29

Article Type : Research Paper

Abstract :The energy eigenvalues and eigenfunctions of relativistic scalar particles are obtained for an equal vector and scalar symmetrical molecular potential in N-dimensional euclidean space by using Asymptotic Iteration Method. For such a calculation, the potential in the eigenvalue equation is scaled regarding to fact that the potential is the same in non-relativistic limit. Furthermore, an highly-accurate approximation scheme is used to deal with the centrifugal term in the eigenvalue equation. The results obtained are compared with the ones that exist in literature.
Keywords : Klein Gordon equation, Asymptotic Iteration Method, Symmetrical molecular potential, Centrifugal term