Relativistic Bosonic Equations with Generalized Position and Momentum Operators

Abstract

In this work, we investigate the relativistic quantum motions of spinzero scalar bosons via the Duffin-Kemmer-Petiau (DKP) equation with a positiondependent mass (PDM) system in the background of the topological defect spacetime produced by a cosmic string. We determine the radial wave equation and obtain the exact analytical solutions of the wave equation for the linear and Cornelltype potential through the Bi-Confluent Heun differential equation. In fact, we have obtained the ground state energy for both potentials.