Aharonov-Bohm Scattering of a Localized Wave Packet: Analysis of the Forward Direction

TL;DR

This paper analyzes Aharonov-Bohm scattering of a localized wave packet, revealing auto-interference phenomena in the forward direction and providing a finite probability density current through a time-dependent asymptotic approach.

Contribution

It introduces a detailed analysis of forward scattering in Aharonov-Bohm effect, highlighting auto-interference and finite current, using a novel asymptotic propagator method.

Findings

Auto-interference occurs along the forward direction.

Probability density current is finite in the forward direction.

New insights into time-dependent scattering phenomena.

Abstract

The Aharonov-Bohm scattering of a localized wave packet is considered. A careful analysis of the forward direction points out new results: according to the time-dependent solution obtained by means of the asymptotic representation for the propagator (kernel), a phenomenon of auto-interference occurs along the forward direction, where, also, the probability density current is evaluated and found finite.