一类非中心电磁势下狄拉克方程变量分离的系统且直观方法
高能物理 - 理论
2008-11-26 v1
摘要
我们考虑球坐标中耦合到静态电磁势的三维狄拉克方程。势的空间分量具有角向（非中心）依赖性，使得狄拉克方程在所有坐标中可分离。对于势满足洛伦兹规范固定条件且其时间分量为库仑势的情况，我们获得了精确解。得到了相对论性能谱和相应的旋量波函数。阿哈罗诺夫-玻姆和磁单极势包含在这些解中。采用常规相对论单位， = c = 1。
引用
@article{arxiv.hep-th/0501122,
title = {Systematic and intuitive approach for separation of variables in the Dirac equation for a class of noncentral electromagnetic potentials},
author = {A. D. Alhaidari},
journal= {arXiv preprint arXiv:hep-th/0501122},
year = {2008}
}
备注
This is a modified version of the manuscript hep-th/0501004 rewritten in the conventional relativistic units, $\hbar$ = c = 1. Consequently, most of the equations and all results that were previously written in the atomic units $\hbar$ = m =1, are now reformulated in the new units