On a Uniformly Accelerated Point Charge moving along a Cusp

TL;DR

This paper investigates the radiation and quantum effects of a uniformly accelerated point charge moving along a cusp, revealing similarities to synchrotron radiation and confirming vacuum excitation spectra.

Contribution

It introduces analysis of cusp motion for a point charge, providing new insights into radiation patterns and quantum field interactions in this unique acceleration scenario.

Findings

Angular distribution of Larmor radiation derived

Constant power and maximal intensity directions identified

Intensity scales similarly to synchrotron radiation

Abstract

A uniformly accelerated point charge which moves neither in a straight line nor in a circle, but in a cusp, is investigated. We find the angular distribution of the Larmor radiation, the constant power, and the intensity in the maximal direction. It is found that the intensity of uniformly accelerated cusp motion scales like non-uniformly accelerated synchrotron radiation. We confirm the exact vacuum excitation spectra of quantized field detectors on the world line.