球规范和笛卡尔规范中球对称势的Dirac-Hestenes方程
The Dirac-Hestenes Equation for Spherical Symmetric Potentials in the Spherical and Cartesian Gauges
摘要：
在本文中使用的装置的Clifford丛形式主义，我们展示了如何直接解决在闵可夫斯基时空的Dirac-Hestenes方程-这是一个适当的代表在Clifford丛的微分形式的通常狄拉克方程-分离变量的情况下，潜在的球对称的笛卡尔和球面规范。我们表明，相反的是，在第一眼看到的，在这两种规格的DHE的解决方案具有完全相同的数学难度。
英文摘要：
In this paper using the apparatus of the Clifford bundle formalism we show how straightforwardly solve in Minkowski spacetime the Dirac-Hestenes equation -- which is an appropriate representative in the Clifford bundle of differential forms of the usual Dirac equation -- by separation of variables for the case of a potential having spherical symmetry in the Cartesian and spherical gauges. We show that contrary to what is expected at a first sight, the solution of the DHE in both gauges has exactly the same mathematical difficulty.
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