Transmission resonance for a Klein-Gordon particle in one-dimensional Hulthén potential barrier

Zhang Min-Cang

doi:10.7498/aps.58.5961

Abstract
The Klein-Gordon equation in the presence of a spatially one-dimensional Hulthén potential barrier is solved and the scattering state solutions are obtained in terms of the hypergeometric functions. Both the reflection coefficient and transmission coefficient are calculated from the boundary condition of Klein-Gordon equation and the conditions for transmission resonance are then derived.The result shows that when the reflection coefficient is zero the transmission resonance takes place.

Keywords:
Klein-Gordon equation /

Hulthén potential barrier /

scattering state /

transmission resonance
Authors and contacts
Zhang Min-Cang

1.
陕西师范大学物理学与信息技术学院,西安 710062
References

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Vol. 58, Issue 9 - 2009-05-05

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Transmission resonance for a Klein-Gordon particle in one-dimensional Hulthén potential barrier

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Transmission resonance for a Klein-Gordon particle in one-dimensional Hulthén potential barrier

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