The DKP Equation in Presence of a Cusp Potential: Transmission Resonances and Bound States
The DKP Equation in Presence of a Cusp Potential: Transmission Resonances and Bound States
In this paper, we solve the Duffin–Kemmer–Petiau equation in the presence of the cusp potential for spin-one particles. We derived the scattering solutions and calculated the bound states in terms of the Whittaker functions. We show that transmission resonances are present, as well as the particle–anti-particle bound states.