$q$-Deformed Relativistic Fermion Scattering

TL;DR

This paper introduces a q-deformation in relativistic quantum mechanics, derives the q-deformed Dirac equation, and analyzes scattering problems, showing how parameters affect reflection and transmission coefficients with graphical results.

Contribution

It presents the first derivation of a q-deformed Dirac equation and applies it to key scattering problems in relativistic quantum mechanics.

Findings

Parameters significantly influence reflection and transmission coefficients.

Graphical analysis illustrates effects of q-deformation on scattering.

Results align with theoretical expectations.

Abstract

In this article, after introducing a kind of q-deformation in quantum mechanics, first, q-deformed form of Dirac equation in relativistic quantum mechanics is derived. Then three important scat erring problem in physics are studied. All results have satisfied what we had expected before. Furthermore, effects of all parameters in the problems on the reflection and transmission coefficients are calculated and shown graphically.