狄拉克方程的单旋量解法以及由此引起的认识上的差异

Two-component spinor method to solve the Dirac equation and a new look into the basic concept

把狄拉克方程分解成了两个单旋量的联立方程组 .指出现行的自旋理论仅考虑了其中的一个方程 ,是以一个单旋量代替双旋量来描述状态而建立起来的 .笔者在认同现行自旋理论可以作为狄拉克方程的一种求解方法 ,因而同意其中的某些提法外 ,对于其主要的物理观念 :微观粒子存在着独立于现实的位形空间之外的一个自旋空间 ,在这个自旋空间内禀着角动量S和磁矩 μs;这个自旋理论是相对论性量子力学导出的必然结论等等看法予以否定 .笔者认为 ,只有同时考虑两个单旋量的方程 ,同时计及两个单旋量 ,才能准确地描述状态 ,从而正确地描述客观规律 .

The Dirac equation is decomposed into a pair of equations of two spinors. It is pointed out that the existing spin theory is an equation built on them, by replacing four component spinor with two component spinor to describe the state. We agree that the conventional spin theory is a method to solve the Dirac equation, we also agree with some reasonable ideas in it, but disagree with some fundamental concepts as follows. First, for micro scopic particles, there is a spin space independent of the three dimensional one. Second, angular momentum S and magnetic moment μ s are intrinsic in spin space. Finally, this spin theory is the necessary result of relativistic quantum theory. We believe that one must take equations of these two spinors into consideration at the same time, so that the state and the objective law can be described correctly.