The spin-one DKP Equation with a nonminimal vector interaction in the presence of minimal uncertainty in momentum

TL;DR

This paper analyzes the relativistic spin-one DKP equation with nonminimal vector interactions under minimal uncertainty in momentum, deriving exact bound-state spectra and examining effects of deformation and coupling parameters.

Contribution

It provides an exact analytical solution for the bound-state spectrum of the DKP equation with nonminimal vector interactions under momentum uncertainty.

Findings

Deformation and coupling parameters significantly affect the energy spectrum.

Exact bound-state eigenfunctions are obtained in the presence of minimal uncertainty.

Numerical analysis illustrates the impact of nonminimal coupling on relativistic particles.

Abstract

In this work, we consider the relativistic Duffin-Kemmer-Petiau equation for spin-one particles with a nonminimal vector interaction in the presence of minimal uncertainty in momentum. By using the position space representation we exactly determine the bound-states spectrum and the corresponding eigenfunctions. We discuss the effects of the deformation and nonminimal vector coupling parameters on the energy spectrum analytically and numerically.