  Based on the Stueckelberg-Horwitz-Piron theory of covariant quantum mechanics
on curved spacetime, we solved wave equation for a charged covariant harmonic
oscillator in the background of charged static spherically symmetric black
hole. Using Greens functions , we found asymptotic form for the wave function
in the lowest mode (s-mode) and in higher moments. It has been proven that for
s-wave, in a definite range of solid angles, the differential cross section
depends effectively to the magnetic and electric charges of the black hole.
