Scattering of a relativistic scalar particle by a cusp potential |
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Authors: | Víctor M Villalba Clara Rojas |
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Institution: | Centro de Física Instituto Venezolano de Investigaciones Científicas, IVIC Apdo 21827, Caracas 1020-A, Venezuela |
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Abstract: | 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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Keywords: | 03 65 Pm 03 65 Nk 03 65 Ge |
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