# Noncommutative Dirac and Klein-Gordon oscillators in the background of cosmic string: spectrum and dynamics

## TL;DR

This paper investigates the spectrum and dynamics of Dirac and Klein-Gordon oscillators in a noncommutative 4D spacetime background resembling a cosmic string, revealing novel properties due to noncommutativity.

## Contribution

It introduces a new approach to analyze quantum oscillators in noncommutative spacetime with cosmic string geometry, deriving their spectra and dynamic behaviors.

## Key findings

- Novel spectral properties of oscillators in noncommutative cosmic string background
- Distinct dynamic behaviors influenced by noncommutativity
- New insights into quantum systems in curved noncommutative spacetime

## Abstract

From a study of an oscillator in a $4D$ NC spacetime, we establish the Hamilton equations of motion. The formers are solved to give the oscillator position and momentum coordinates. These coordinates are used to build a metric similar to that describing a cosmic string. On this basis, Dirac and Klein-Gordon oscillators are investigated. Their spectrum and dynamics are analysed giving rise to novel interesting properties.