ACCURATE FINITE-ELEMENT SOLUTIONS OF THE 2-BODY DIRAC-EQUATION

被引：23
|
作者：
SCOTT, TC
SHERTZER, J
MOORE, RA
机构：
[1] GUELPH WATERLOO PROGRAM GRAD WORK PHYS, WATERLOO N2L 3G1, ONTARIO, CANADA
[2] COLL HOLY CROSS, DEPT PHYS, WORCESTER, MA 01610 USA
来源：
PHYSICAL REVIEW A | 1992年 / 45卷 / 07期
关键词：
D O I：
10.1103/PhysRevA.45.4393
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
A general analysis of the two-body Dirac equation is presented for the case of equal masses interacting via a static Coulomb potential. Radial equations are derived and their analytical structure is discussed. Standard analytical and perturbative methods have failed to provide solutions to the radial equations due to the presence of the singularity on the negative radial axis at roughly the distance of the classical electron radius. The exact radial equations are solved using finite-element analysis, and the low-lying bound states are obtained to an accuracy of one part in 10(18). The effect of the singularity is clearly seen in the structure of the finite-element radial components.
引用
收藏
页码：4393 / 4398
页数：6
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