Study of Klein Gordon equation for modified Woods-Saxon potential using hypergeometric method.

The Klein-Gordon equation application with modified Woods-Saxon potential was studied in the case of scalar and vector potential. The Klein-Gordon equation is used to explain the behavior of electrons if the velocity of electrons is assumed to be an approach to the speed of light because this phenomenon can not be explained by the Schrodinger equation. The hypergeometric method was used to gain the energy of relativistic and wave functions of Klein-Gordon equation. The energy of relativistic was obtained by using the Matlab R2013A software numerically. While the wave functions were investigated analytically. The relativistic energy was obtained from the equation of Klein-Gordon can be reduced to nonrelativistic energy in the Schrodinger equation. The result showed that the energy relativistic was decreased by the increase of quantum numbers. The wave functions that have not been normalized were avowed in hypergeometric. This paper can be used as a reference for other studies with similar potential such as harmonic potential and Coulomb potential. [ABSTRACT FROM AUTHOR]