The DKP equation in presence of a cusp potential: Transmission resonances and bound states

Author:

Arévalo Vicente A.1ORCID,Valladares Sebastián2ORCID,Rojas Clara1ORCID

Affiliation:

1. Yachay Tech University, School of Physical Sciences and Nanotechnology, Hda. San José S/N y, Proyecto Yachay, Urcuquí 100119, Ecuador

2. Facultad de Física, Universidad de Sevilla, Sevilla 41012, España

Abstract

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.

Publisher

World Scientific Pub Co Pte Ltd

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