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自由势场中变质量粒子的透射率研究

The Transmission Probability of Position-Dependent-Mass Particle Through the Free Potential Field
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摘要 利用分析转移矩阵方法,研究了变质量分布粒子在1维自由势场(V(x)=0)中的透射率.通过点正则变换,发现变质量分布粒子的透射谱与其等效势场的类型密切相关.当等效势为势阱,则在本征能级处透射率达到极大;而为势垒时,如果粒子入射能量小于势垒高度,则透射率非常小,一旦粒子能量大于势垒高度,透射率则在1附近震荡. Based on the transmission formula derived from the analytical transfer matrix method, two cases of the transmission probabilities of the position-dependent-mass particle through the free potential field are calculated. Combined with the point canonical transformation, we conclude that the transmission probabilities are closely connected to the structure of their effective potential. If the effective potential is a well, the transmission resonance peaks lies exactly at the eigen-energies. If the effective potential is a barrier, the transmission probabilities are very low at the below-barrier energies and oscillating around 1 at the beyond-barrier energies.
作者 余子星 李新华 李翠翠 桑明煌
机构地区 江西师范大学物理与通信电子学院 江西省星子中学
出处 《江西师范大学学报（自然科学版）》 CAS 北大核心 2012年第1期79-82,共4页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 国家自然科学基金(60807014)资助项目
关键词 自由势场 变质量粒子 分析转移矩阵方法 透射率 点正则变换 the free potential field position-dependent-mass particle ATMM transmission probability point canonical transformation
分类号 O413.1 [理学—理论物理]
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参考文献17

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二级参考文献12

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江西师范大学学报（自然科学版）
2012年 第1期

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