The DKP Equation in Presence of a Cusp Potential: Transmission Resonances and Bound States

• URL: http://arxiv.org/abs/2405.12722v1
• Date: Tue, 21 May 2024 12:23:27 GMT
• Title: The DKP Equation in Presence of a Cusp Potential: Transmission Resonances and Bound States
• Authors: Vicente A. Arévalo, Sebastián Valladares, Clara Rojas,
• Abstract summary: We solve the Duffin--Kemmer--Petiau (DKP) equation in the presence of the cusp potential for spin--one particles. We show that transmission resonances are present, as well as the particle--antiparticle bound states.
• Score: 0.0
• License: http://creativecommons.org/publicdomain/zero/1.0/
• Abstract: In this article, we solve the Duffin--Kemmer--Petiau (DKP) 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.

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