大学物理 ›› 2017, Vol. 36 ›› Issue (8): 1-4.doi: 10.16854 /j.cnki.1000-0712.2017.08.001

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相对论的德布罗意物质波及其应用于Aharonov-Bohm 效应

崔怀洋   

  1. 北京航空航天大学物理系,北京100191
  • 收稿日期:2017-01-13 修回日期:2017-02-24 出版日期:2017-08-20 发布日期:2017-08-20
  • 作者简介:崔怀洋( 1963—) ,男,安徽淮北市人,北京航空航天大学物理系副教授,主要教学工作: 大学物理与

Relativistic De Broglie matter wave and its application in Aharonov-Bohm effect

CUI Huai-yang   

  1. Department of Physics,Beihang University,Beijing 100191,China
  • Received:2017-01-13 Revised:2017-02-24 Online:2017-08-20 Published:2017-08-20

摘要: 本文提出了一种推广德布罗意物质波到相对论中去的新方法.写出了相对论德布罗意物质波的数学表达式,把相对 论德布罗意物质波成功地应用于Aharonov-Bohm 效应和计算氢原子能级的精细结构,计算结果与实验相符,与其他量子理论 计算结果一致.

关键词: 物质波, Aharonov-Bohm 效应, 精细结构

Abstract: A new approach is proposed for extending the De Broglie matter wave to relativistic formalism.The relativistic matter wave expression is obtained and applied successfully to explain the Aharonov-Bohm effect.The fine structure in the hydrogen energy levels is calculated,which is in well agreement with experiments and in accordance with the prediction of other quantum theories of the subjects considered.

Key words: matter wave, Aharonov-Bohm effect, fine structure