Entropy uncertainty principle for Dirac system with mass jump

TL;DR

This paper establishes an entropy-based uncertainty principle for a Dirac system with a position-dependent mass jump, providing a lower bound and extending the concept of entropy uncertainty to such quantum systems.

Contribution

It introduces an entropy uncertainty principle for Dirac systems with mass jumps, demonstrating the existence of a lower bound in this context, which was previously unexplored.

Findings

Entropy uncertainty principle holds for Dirac systems with mass jumps.

A lower bound for the entropy-based uncertainty principle is proved.

The approach extends the applicability of entropy uncertainty to position-dependent mass systems.

Abstract

Dependency on the preparation of state for the Heisenberg uncertainty principle can be removed with the help of entropy uncertainty principle. The shortness of the uncertainty principle (UP) can be overcome with the help of the concept of Shannon's information entropy (SE). In this article, we have shown that UP in terms of SE holds for a position-dependent effective mass system. We have considered the Dirac system with a mass-jump at the origin. We have proved the existence of a lower bound for a UP for this position-dependent effective mass.