Abstract

DKP equation describes spin-0 and spin-1 relativistic particles. It is well known [4-5] that the DKP equation is equivalent to the Klein-Gordon and Proca equations, in [7] the equivalence to the KG equation is established via the matrix S and the reduction formula LSZ. In a different manner, 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.

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