Exact solutions of a two-dimensional Duffin-Petiau-Kemmer oscillator subject to a coulomb potential in the gravitational field of cosmic string

TL;DR

This paper derives exact solutions for a two-dimensional DKP oscillator with a Coulomb potential in a cosmic string background, analyzing how the cosmic string spacetime affects the energy eigenvalues.

Contribution

It provides the first exact solutions of the DKP oscillator with Coulomb potential in a cosmic string spacetime, highlighting the influence of topological defects on quantum states.

Findings

Eigenvalues are affected by the cosmic string's presence.

Exact eigensolutions are obtained for the system.

The cosmic string modifies the energy spectrum.

Abstract

In this paper, the problem of a two-dimensional Duffin-Petiau-Kemmer (DKP) oscillator in the presence of a coulomb potential in the cosmic string background is solved. The eigensolutions of the problem in question have been found, and the influence of the cosmic string space-time on the eigenvalues has been analyzed.