| 一维Hulthén势场中Klein-Gordon粒子的透射共振 |
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| 引用本文： | 张民仓. 一维Hulthén势场中Klein-Gordon粒子的透射共振[J]. 物理学报, 2009, 58(9): 5961-5964 |
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| 作者姓名： | 张民仓 |
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| 作者单位： | 陕西师范大学物理学与信息技术学院,西安 710062 |
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| 摘 要： | 用Heaviside函数构造出一维对称的Hulthén势垒，求解了其满足的Klein-Gordon方程. 散射态的精确解可以由超几何函数表示, 透射系数T和反射系数R能由Klein-Gordon 方程满足的边界条件得到.并由流密度守恒推导出低动量粒子发生透射共振的条件.关键词：Klein-Gordon方程Hulthén势垒散射态透射共振
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| 关 键 词： | Klein-Gordon方程 Hulthén势垒 散射态 透射共振 |
| 收稿时间： | 2008-09-18 |
Transmission resonance for a Klein-Gordon particle in one-dimensional Hulthen potential barrier |
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| Zhang Min-Cang. Transmission resonance for a Klein-Gordon particle in one-dimensional Hulthen potential barrier[J]. Acta Physica Sinica, 2009, 58(9): 5961-5964 |
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| Authors: | Zhang Min-Cang |
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| 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. |
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| Keywords: | Klein-Gordon equation Hulthén potential barrier scattering state transmission resonance |
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