Exact Solutions of the Duffin-Kemmer-Petiau Equation with Linear Potential in the Presence of a Minimal Length

We present the (1+1)-dimension Duffin-Kemmer-Petiau equation for the spin-0 and spin-1 cases with vector and scalar linear potentials in the context of modified quantum mechanics. The minimal length is characterized in the presence of a non-zero minimum uncertainty in position. The energy eigenvalues and eigenfunctions are obtained for both cases in the momentum space. There is an energy eigenvalue in spite of the n =0 case due to the presence of the minimal length.