论文标题

通过光滑的屏障散射klein-gordon粒子

Scattering of a Klein-Gordon particle by a smooth barrier

论文作者

López, Eduardo, Rojas, Clara

论文摘要

我们通过平滑的屏障对一维klein-gordon方程进行了研究。散射解决方案是根据whittaker $ m_ {κ,μ}(x)$函数给出的。根据能量,高度和潜在屏障的平滑度来计算反射和传输系数。对于平滑度参数的任何值,我们观察到传输共振。

We present the study of the one-dimensional Klein-Gordon equation by a smooth barrier. The scattering solutions are given in terms of the Whittaker $M_{κ,μ}(x)$ function. The reflection and transmission coefficients are calculated in terms of the energy, the height and the smoothness of the potential barrier. For any value of the smoothness parameter we observed transmission resonances.

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