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arXiv · 0710.2575

Scattering of a Klein-Gordon particle by a Hulthén potential

Jian You Guo·Xiang Zheng Fang·Chuan Mei Xie
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Abstract

The Klein-Gordon equation in the presence of a spatially one-dimensional Hulthén 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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Jian You Guo, Xiang Zheng Fang, Chuan Mei Xie. 2007-10-13. Scattering of a Klein-Gordon particle by a Hulthén potential. https://arxiv.org/abs/0710.2575

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