Scattering of a Klein-Gordon particle by a Hulthén potential

Physics – Quantum Physics

Scientific paper

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6 pages,8 figures

Scientific paper

The Klein-Gordon equation in the presence of a spatially one-dimensional Hulth\'en potential is solved exactly and the scattering solutions are obtained in terms of hypergeometric functions. The transmission coefficient is derived by the matching conditions on the wavefunctions and the condition for the existence of transmission resonances are investigated. It is shown how the zero-reflection condition depends on the shape of the potential.

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