The DKP oscillator with a linear interaction in the cosmic string space-time

TL;DR

This paper investigates the relativistic quantum behavior of a DKP oscillator in cosmic string space-time, revealing how topological defects influence scalar fields through exact solutions and energy spectra.

Contribution

It provides the first exact solutions for the DKP oscillator with linear interaction in cosmic string space-time, highlighting the effects of gravitational topological defects.

Findings

Eigenfunctions and energy levels are derived explicitly.

The linear interaction modifies the energy spectrum.

Topological defects impact the scalar field dynamics.

Abstract

We study the relativistic quantum dynamics of a DKP oscillator field subject to a linear interaction in cosmic string space-time in order to better understand the effects of gravitational fields produced by topological defects on the scalar field. We obtain the solution of DKP oscillator in the cosmic string background. Also, we solve it with an ansatz in presence of linear interaction. We obtain the eigenfunctions and the energy levels of the relativistic field in that background.