Scattering of a relativistic scalar particle by a cusp potential

Details Scattering of a relativistic scalar particle by a cusp potential Scattering of a relativistic scalar particle by a cusp potential

2006-10-07

arxiv.org/abs/hep-th/0610083v1

Phys.Lett.A362:21-25,2007

Physics

High Energy Physics

High Energy Physics - Theory

To appear in Physics Letters A

Scientific paper

10.1016/j.physleta.2006.09.089

We 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.

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