大学物理 ›› 2017, Vol. 36 ›› Issue (7): 5-8.doi: 10.16854 /j.cnki.1000-0712.2017.07.002

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概率波的古斯-汉森位移

桑芝芳,张凯,高雷   

  1. 苏州大学物理与光电·能源学部,江苏苏州215006
  • 收稿日期:2016-09-01 修回日期:2016-11-07 出版日期:2017-07-20 发布日期:2017-07-20
  • 作者简介:桑芝芳( 1971—) ,女,江苏如东人,苏州大学物理科学与技术学院教授,博士,主要从事基础物理和理
  • 基金资助:
    国家自然科学基金项目( 11374233) 和江苏省教育科学“十二五”规划2013 年度课题( D/2013 /01 /105) 资助

The Goos-Hnchen shift of probability wave

SANG Zhi-fang,ZHANG Kai,GAO Lei   

  1. School of Physics Science and Technology,Soochow University,Suzhou,Jiangsu 215006,China
  • Received:2016-09-01 Revised:2016-11-07 Online:2017-07-20 Published:2017-07-20

摘要: 概率波在传输过程中很多性质可以与电磁波进行类比,电磁波入射至两种介质的交界面上发生全反射时会产生古斯-汉森位移,概率波在穿透势垒时也有类似的古斯-汉森位移现象,本文推导了概率波穿透方势垒时的古斯-汉森位移表达式,并讨论了该位移与入射角、势垒宽度、粒子能量等参量之间的关系.

关键词: 概率波, 方势垒, 反射波, 古斯-汉森位移

Abstract: Many transmission properties of probability wave satisfying the Schrdinger equation are similar electromagnetic wave. The exit point of electromagnetic wave totally reflected by interface separating two deferent refractive index media experiences the Goos-Hnchen shift corresponding to the incident point. The Goos-Hnchen shift also takes place in the probability wave. In this paper,the expression of the Goos -Hnchen shift in the probability wave is deduced when it pierces through the rectangular potential barrier,and the relationships with incident angle. The width of potential barrier and electronic energy are also discussed.

Key words: probability wave, rectangular potential barrier, reflectance;, Goos-Hnchen shift