Confinement of spin-1 and spin-0 bosons in (1 + 1)-dimensions with a scalar linear potential

Abstract

We obtain bound-state solutions of the Duffin-Kemmer-Petiau equation in one spatial dimension in the presence of a Lorentz-scalar linear potential. The exact conditions selecting the eigenvalues of the system have been derived and are shown to match their non-relativistic counterparts in the weak-coupling limit. © 2013 The Royal Swedish Academy of Sciences.