Structures of q-Deformed Currents

TL;DR

This paper investigates the structures of q-deformed probability currents, analyzing their perturbation behaviors and how different realizations affect their potential dependence, revealing that total contributions remain consistent.

Contribution

It provides a detailed comparison of perturbation structures of q-deformed probability currents under different realizations of the q-deformed Heisenberg algebra.

Findings

Two perturbation q-deformed currents have different local structures.

One current is potential dependent, the other is not.

Total contributions of both currents are equal across the whole space.

Abstract

The non-perturbation and perturbation structures of the q-deformed probability currents are studied. According to two ways of realizing the q-deformed Heisenberg algebra by the undeformed operators, the perturbation structures of two q-deformed probability currents are explored in detail. Locally the structures of two perturbation q-deformed probability currents are different, one is explicitly potential dependent; the other is not. But their total contributions to the whole space are the same.