J4

• 物理 • 上一篇    下一篇

用量子理论新方法研究电子衍射问题

刘晓静1, 王光怀1, 张春丽1, 刘 兵1, 郭义庆2   

  1. 1. 吉林师范大学 物理学院, 吉林 四平136000; 2. 中国科学院 高能物理研究所, 北京 100039
  • 收稿日期:2007-03-27 修回日期:1900-01-01 出版日期:2008-03-26 发布日期:2008-03-26
  • 通讯作者: 王光怀

Research on Diffraction of Low-energy Neutron with a New Approach of Quantum Theory

LIU Xiao jing1, WANG Guang huai1, ZHANG Chun li1, LIU Bing1, GUO Yi qing2   

  1. 1. College of Physics, Jilin Normal University, Siping 136000, Jilin Province, China; 2. Institute of High Energy Physics, Chinese Academy of Siences, Beijing 100039, China
  • Received:2007-03-27 Revised:1900-01-01 Online:2008-03-26 Published:2008-03-26
  • Contact: WANG Guang huai

摘要: 利用量子理论新方法研究电子的单缝、 双缝和三缝衍射问题, 结果表明: (1) 在单缝衍射中, 增加缝厚度可改变衍射条纹的强度和形状; (2) 在双缝衍射中, 当缝宽a和缝间距d满足(a+d)/a=n(n=1,2,3,…)时, 其衍射图产生级数为n,2n,3n,…的缺级; 当(a+d)/a≠n(n=1,2,3,…)时, 无缺级现象; (3) 在双缝衍射中, 衍射条纹强度和形状随缝厚度的增加均发生变化, 同时缺级现象随缝厚度的增加而消失; (4) 在三缝衍射中, 缝厚度的变化也影响条纹的强度和形状, 并在2个主极大间有1个次极大和2个最小值.

关键词: 物质波, 衍射, 量子理论

Abstract: We studied electron single-slit, double-slit and three-slit diffraction with a new quantum mechanics approach and obtained the following results. (1) For single-slit diffraction, the thickness of the single-slit can make a large impact on the diffraction intensity and pattern. (2) For double-slit diffraction, when the ratio of (a+d)/a=n(n=1,2,3,…), orders n,2n,3n,… are missing in diffraction pattern, when the ratio of (a+d)/a≠n(n=1,2,3,…), there isn’t missing order in diffraction pattern. (3) For double-slit diffraction, it can be found that when the thickness of the double-slit increases, the diffraction intensity and pattern will be changed, and when the thickness of the double-slit increases, the missing order phenomena disappear. (4) For three-slit diffraction, when the thickness of the slit increases, the diffraction intensity and pattern will be changed, and there is one secondary maxima and two minima between the two principle maxima.

Key words: matter-wave, diffraction, quantum theory

中图分类号: 

  • O571.5