The explicit relation between the DKP equation and the Klein-Gordon equation

Abstract

DKP equation describes spin-0 and spin-1 relativistic particles. Many researchers have been interested in the DKP  equation. In this work, we give an explicit relation between the DKP and the KG equations for both the spin-0 particle in (1+3) dimensions and spin-1 particle in (1+1) dimensions. From the DKP equation in its explicit form, we get another system generated by the KG equation, which gives us the equivalence between the DKP equation and the KG equation. Using this equivalence, the Volkov-like solution of the DKP equation for the spin-0 particle in the field of an electromagnetic plane wave, is calculated.