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The Klein-Gordon equation in the presence of a spatially one-dimensionalHulth\'en potential is solved exactly and the scattering solutions are obtainedin terms of hypergeometric functions. The transmission coefficient is derivedby the matching conditions on the wavefunctions and the condition for theexistence of transmission resonances are investigated. It is shown how thezero-reflection condition depends on the shape of the potential.

Scattering of a Klein–Gordon particle by a Hulthén potential