Interaction of a wave packet with potential structures moving with acceleration

TL;DR

This paper numerically investigates how wave packets interact with accelerating potential structures, revealing that acceleration causes a predictable shift in the wave's velocity spectrum, consistent with a universal effect on wave frequency.

Contribution

It introduces a numerical analysis of wave packet interactions with accelerating potentials, highlighting a universal frequency shift effect during scattering.

Findings

Spectrum shift proportional to acceleration and group delay

Reversal of acceleration reverses the spectrum shift

Results confirm universality of the acceleration effect on wave frequency

Abstract

The paper is devoted to a numerical study of the problem of interaction of the wave packet with potential structures moving with constant acceleration. In all the cases considered the result of the interaction is a change in the velocity spectrum. In the first approximation the magnitude of the shift in the spectrum is determined by the product of acceleration by group delay time. Also, as the direction of acceleration reverses the effect changes its sign. The results are completely consistent with the idea of universality of the Effect of Acceleration which consists in a change in the frequency of the wave at scattering on an object moving with acceleration.