Scattering of a Klein-Gordon particle by a Woods-Saxon potential

Details Scattering of a Klein-Gordon particle by a Woods-Saxon potential Scattering of a Klein-Gordon particle by a Woods-Saxon potential

2005-03-11

arxiv.org/abs/hep-th/0503108v1

Phys.Rev.A71:052101,2005

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Revtex. To appear in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.71.052101

We solve the Klein-Gordon equation in the presence of a spatially
one-dimensional Woods-Saxon potential. The scattering solutions are obtained in
terms of hypergeometric functions and the condition for the existence of
transmission resonances is derived. It is shown how the zero-reflection
condition depends on the shape of the potential.

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