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

General Physics 2020-03-03 v2 Quantum Physics

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.

Keywords

Cite

@article{arxiv.1905.05762,
  title  = {Covariant Quantum-Mechanical Scattering via Stueckelberg-Horwitz-Piron Theory},
  author = {Davood Momeni},
  journal= {arXiv preprint arXiv:1905.05762},
  year   = {2020}
}

Comments

Version accepted in "International Journal of Modern Physics D", 10 Pages, Dedicated to Prof. Lawrence P. Horwitz