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arXiv · 1905.05762

Covariant Quantum-Mechanical Scattering via Stueckelberg-Horwitz-Piron Theory

Davood Momeni
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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.

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Davood Momeni. 2019-05-14. Covariant Quantum-Mechanical Scattering via Stueckelberg-Horwitz-Piron Theory. https://doi.org/10.1142/s021827182050008x

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