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电子相对论径向波函数的基本特征

  • 刘晓斌 ,
  • 师应龙 ,
  • 邢永忠 ,
  • 路飞平
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  • 天水师范学院物理系,甘肃天水741001
刘晓斌( 1973—) ,男,甘肃天水人,天水师范学院电子信息与电气工程学院物理系副教授,主要从事原

网络出版日期: 2016-12-20

基金资助

国家自然科学基金( 11264033,11464040,11265013 ) 、甘肃省高等学校科研项目( 2014A-104 ) 、甘肃省自然科学基金 ( 1506RJZE112) 资助

The fundamental properties of electron relativistic radial wave function

  • LIU Xiao-bin ,
  • SHI Ying-long ,
  • XING Yong-zhong ,
  • LU Fei-ping
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  • Department of Physics,Tianshui Normal University,Tianshui,Gansu 741001,China

Online published: 2016-12-20

摘要

利用相对论平均自洽场理论,研究了电子相对论径向波函数的基本特征. 电子相对论径向波函数大小分量的数量级通常相差悬殊且不“同步”,核外电子的径向分布没有严格的零概率点; 束缚电子相对论径向波函数大小分量的节点个数为n - l - 1、波腹个数为n - l,而自由电子的节点和波腹数则趋于无穷大. 电子相对论径向波函数反映了相对论效应的基本特征: 相对论效应越强,小分量振幅相对越大,自由电子径向波函数振荡越剧烈.

本文引用格式

刘晓斌 , 师应龙 , 邢永忠 , 路飞平 . 电子相对论径向波函数的基本特征[J]. 大学物理, 2016 , 35(12) : 19 -22 . DOI: 10.16854/j.cnki.1000-0712.2016.0174

Abstract

The fundamental properties of electron relativistic radial wave functions have been studied theoretically based on the relativistic average self - consistent field. Usually,the small - component of relativistic radial wave functions is several orders of magnitudes less than the large - component,and is not generally synchronous with the large - component,so the radial probability density of electron has no exact zeros. The number of nodes for bound electron large - or small - component is n - l - 1,so that the number of antinodes is n - l,but the number of nodes and antinodes for free electron just turn to infinite. The radial wave functions are extremely sensitive to the relativistic effects,the amplitude of small - component increases with increasing relativistic effects,as well as the oscillating intensity of large,small - component for free electron.
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