Foldy-Wouthuysen表示中矩阵元的计算
Calculation of Matrix Elements in the Foldy-Wouthuysen Representation
摘要：
本文比较了计算超铀元素类氢离子和类氦离子1 s态的Foldy-Wouthuysen表象中任意阶径向电子坐标算符的矩阵元的方法，并与Dirac方程作了比较。对类氢离子和类氦离子的1 s态的分析和数值计算结果证明了将波函数约化到Foldy-Wouthuysen表示是符合要求的，并证实了仅用狄拉克双旋量波函数的一个分量（上或下）就可以计算矩阵元.
英文摘要：
The paper compares the methods used to calculate matrix elements of the operator of radail electron coordinates in an arbitrary order in the Foldy-Wouthuysen representation and with the use of the Dirac equation for 1s-states of the hydrogen-like and helium-like ions of transuranic elements. The obtained analytical and numerical results for 1s-states of the hydrogen-like and helium-like ions proves that the wave function reduction requirement is met with transformation to the Foldy-Wouthuysen representation and confirms that matrix elements can be calculated using only one component (either upper, or lower) of the Dirac bispinor wave function.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
