Angular momentum quantum backflow in the noncommutative plane

TL;DR

This paper investigates angular momentum quantum backflow in a noncommutative plane, analyzing how it varies with magnetic fields and oscillator interactions, revealing new insights into quantum behavior in noncommutative geometries.

Contribution

It introduces a study of angular momentum backflow in noncommutative space, considering magnetic fields and oscillator interactions, and proposes a probability measure for backflow occurrence.

Findings

Backflow probability depends on magnetic field strength.

Differences observed between cases with and without oscillator interaction.

Angular momentum backflow behavior is characterized in noncommutative geometry.

Abstract

We study the quantum backflow problem in the noncommutative plane. In particular, we have considered a charged particle with and without an oscillator interaction with noncommuting momentum operators and examined angular momentum backflow in each case and how they differ from each other. We also propose a probability associated with the occurence of angular momentum backflow and investigate whether or not the probability depends on a physical parameter, namely the magnetic field.