论文标题
扭曲旋转田的涡度
Vorticity of Twisted Spinor Fields
论文作者
论文摘要
在自由空间中具有涡流结构的旋转磁场，使它们可以沿着运动方向具有任意的整数轨道角动量。相对较新的是，在某种情况下的观察是，与经典的漩涡池不同，该田地结构的涡流中心不是单数。我们指出，有几种方法可以计算纺纱场的局部速度，除一个外，所有方法在涡旋线处显示出奇异的涡度。在这种情况下，（据我们所知），使用没有衍生物的狄拉克双线电流，它是迄今为止在文献中研究的一个，我们进一步展示了如何在现有结果中理解明显的冲突。
Spinor fields with a vortex structure in free space that allow them to have arbitrary integer orbital angular momentum along the direction of motion have been studied for some time. Relatively new is the observation in a certain context that the vortex center of this field structure is, unlike a classical whirlpool, not singular. We point out that there are several ways to calculate the local velocity of the spinor field and that all but one show a singular vorticity at the vortex line. That one, using the Dirac bilinear current with no derivatives, is the only one so far (to our knowledge) studied in the literature in this context and we further show how to understand an apparent conflict in the existing results.
