Bound-states of the (1 + 1)-dimensional DKP equation with a pseudoscalar linear plus Coulomb-like potential

We solve the DKP equation with a pseudoscalar linear plus Coulomb-like potential in a two-dimensional space–time. The problem is mapped into an effective quadratic plus inversely quadratic potential in a Sturm–Liouville type equation. The exact energy spectrum and the corresponding normalized eigenstates are obtained. The particular case of the DKP oscillator is also discussed.