Covariant quantum-mechanical scattering via Stueckelberg–Horwitz–Piron theory

Abstract

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