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The dynamics of relativistic (scalar and vector) bosons through nonminimalvector square (well and barrier) potentials is studied in theDuffin-Kemmer-Petiau (DKP) formalism. We show that the problem can be mapped ineffective Schrodinger equations for a component of the DKP spinor. Anoscillatory transmission coefficient is found and there is total reflection.Additionally, the energy spectrum of bound states is obtained and reveals theSchiff-Snyder-Weinberg effect, for specific conditions the potential lodgesbound states of particles and antiparticles.

Quantum dynamics of relativistic bosons through nonminimal vector square potentials