Study of a quantum scattering process by means of entropic measures

TL;DR

This paper investigates quantum particle scattering through a potential barrier using entropic measures, revealing that statistical complexity and Fisher-Shannon information minimize at total transmission points, highlighting quantum transparency phenomena.

Contribution

It introduces the use of entropic measures to analyze quantum scattering, linking statistical complexity and Fisher-Shannon information to physical transparency points.

Findings

Statistical complexity and Fisher-Shannon information reach minima at total transmission points.

Entropic measures correlate with the reflection coefficient, indicating quantum transparency.

The approach provides new insights into quantum scattering phenomena.

Abstract

In this work, a scattering process of quantum particles through a potential barrier is considered. The statistical complexity and the Fisher-Shannon information are calculated for this problem. The behaviour of these entropy-information measures as a function of the energy of the incident particles is compared with the behaviour of a physical magnitude, the reflection coefficient in the barrier. We find that these statistical magnitudes present their minimum values in the same situations in which the reflection coefficient is null. These are the situations where the total transmission through the barrier is achieved, {\it the transparency points}, a typical phenomenon due to the quantum nature of the system.