论文标题
获得对狄拉克和Weyl方程的退化溶液的一般方法，以及关于退化状态的实验检测的讨论
A general method for obtaining degenerate solutions to the Dirac and Weyl equations and a discussion on the experimental detection of degenerate states
论文作者
论文摘要
在这项工作中，我们描述了一种用于获得Dirac方程的退化溶液的通用方法，该方法对应于无限数量的电磁4电位和磁场，这些磁性是明确计算的。更详细地说，使用四个任意的实际功能，可以自动构造一个旋转器，该旋转器可以解决无限数量的电磁4电位数量的越野螺旋体，这些电磁4电位由这些函数定义。这些解决方案的一个有趣特征是，在具有非零质量的狄拉克粒子的情况下，归化的旋转器应在空间和时间上进行定位。我们的方法还扩展到了无质量的狄拉克和韦伊尔颗粒的情况，不再需要纺纱器的定位。最后，我们提出了两种用于检测退化状态的实验方法。
In this work we describe a general method for obtaining degenerate solutions to the Dirac equation, corresponding to an infinite number of electromagnetic 4-potentials and fields, which are explicitly calculated. In more detail, using four arbitrary real functions, one can automatically construct a spinor which is solution to the Dirac equation for an infinite number of electromagnetic 4-potentials, defined by those functions. An interesting characteristic of these solutions is that, in the case of Dirac particles with non-zero mass, the degenerate spinors should be localized, both in space and time. Our method is also extended to the cases of massless Dirac and Weyl particles, where the localization of the spinors is no longer required. Finally, we propose two experimental methods for detecting the presence of degenerate states.
