Solutions of the Duffin–Kemmer–Petiau equation for a pseudoscalar potential step in (1 + 1) dimensions

Abstract

We solve the Duffin–Kemmer–Petiau equation in the presence of a pseudoscalar potential step in (1 + 1) dimensions. We show that the paradox of Klein is not found for particles of spin-1, contrary to the case of the particles of spin-0 where it always persists. The absence of this paradox in the vector bosons is explained with the arguments based on effective mass.PACS Nos.: 03.65.Pm; 03.65.Ge