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arXiv · 2405.12722

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

Vicente A. Arévalo·Sebastián Valladares·Clara Rojas
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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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Vicente A. Arévalo, Sebastián Valladares, Clara Rojas. 2024-05-21. The DKP Equation in Presence of a Cusp Potential: Transmission Resonances and Bound States. https://arxiv.org/abs/2405.12722

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