Scattering of Classical and Quantum Particles by Impulsive Fields

TL;DR

This paper studies how classical and quantum particles scatter in impulsive electromagnetic fields, using generalized functions to handle singularities and proposing physical conditions to resolve ambiguities.

Contribution

It introduces a method to analyze particle scattering in impulsive fields with singularities, overcoming ambiguities via additional physical conditions.

Findings

Successfully models scattering in impulsive fields

Resolves ambiguities in generalized function approach

Applies method to classical and quantum particles

Abstract

We investigate the scattering of classical and quantum particles in impulsive backgrounds fields. These fields model short outbursts of radiation propagating with the speed of light. The singular nature of the problem will be accounted for by the use of Colombeau's generalized function which however give rise to ambiguities. It is the aim of the paper to show that these ambiguities can be overcome by implementing additional physical conditions, which in the non-singular case would be satisfied automatically. As example we discuss the scattering of classical, Klein-Gordon and Dirac particles in impulsive electromagnetic fields.