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

Year 2018, Volume: 5 Issue: 2, 97 - 103, 29.06.2018

Hasan Fatih Kisoglu

https://doi.org/10.17350/HJSE19030000079

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

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