Scattering of a relativistic scalar particle by a cusp potential

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dc.creatorVillalba, Victor M.
dc.creatorRojas, Clara
dc.date2006-10-07
dc.date.accessioned2026-07-07T11:27:54Z
dc.date.available2026-07-07T11:27:54Z
dc.descriptionWe solve the Klein-Gordon equation in the presence of a spatially one-dimensional cusp potential. The scattering solutions are obtained in terms of Whittaker functions and the condition for the existence of transmission resonances is derived. We show the dependence of the zero-reflection condition on the shape of the potential. In the low momentum limit, transmission resonances are associated with half-bound states. We express the condition for transmission resonances in terms of the phase shifts.
dc.descriptionTo appear in Physics Letters A
dc.identifierhttps://arxiv.org/abs/hep-th/0610083
dc.identifierhttp://arxiv.org/abs/hep-th/0610083
dc.identifierPhys.Lett.A362:21-25,2007
dc.identifierdoi:10.1016/j.physleta.2006.09.089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/196278
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Physics
dc.titleScattering of a relativistic scalar particle by a cusp potential
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