Covariant Quantum-Mechanical Scattering via Stueckelberg-Horwitz-Piron Theory
arXiv:1905.05762 · doi:10.1142/S021827182050008X
Abstract
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.
Version accepted in "International Journal of Modern Physics D", 10 Pages, Dedicated to Prof. Lawrence P. Horwitz