Coulomb scattering for scalar field in Scr\" odinger picture
Crucean Cosmin, Racoceanu Radu, Pop Adrian
TL;DR
This paper investigates Coulomb scattering of a charged scalar field in de Sitter space-time, demonstrating that the scattering amplitude is picture-independent and total energy is conserved during the process.
Contribution
It provides a novel analysis of Coulomb scattering in de Sitter space, highlighting invariance of the amplitude and energy conservation.
Findings
Scattering amplitude is independent of the picture choice.
Total energy remains conserved during scattering.
The approach uses solutions of the free Klein-Gordon equation.
Abstract
The scattering of a charged scalar field on Coulomb potential on de Sitter space-time is studied using the solution of the free Klein-Gordon equation. We find that the scattering amplitude is independent of the choice of the picture and in addition the total energy is conserved in the scattering process.
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