Duffin–Kemmer–Petiau equation with Mie-Type potential in the noncommutative space

In this paper, we investigate the approximate analytical solutions of the relativistic Duffin–Kemmer–Petiau equation in the presence of a Mie-Type potential in noncommutative space by using the Nikiforov–Uvarov method. We determine the energy eigenvalues and eigenfunctions of the DKP equation. Furthermore, energy shift due to noncommutativity space–time is obtained via the perturbation theory. We observe that this feature is comparable to the Zeeman effect and the degeneracy of the classical spectral line is fractured in the transition from commutative to noncommutative space by the splitting of the states.