论文标题
对无质量狄拉克和Weyl方程的退化解决方案，以及一种控制Weyl颗粒量子状态的建议方法
Degenerate solutions to the massless Dirac and Weyl equations and a proposed method for controlling the quantum state of Weyl particles
论文作者
论文摘要
在最近的一项工作中，我们表明，Weyl方程的所有解决方案和Dirac方程的特殊解决方案都退化，因为它们在各种不同的电磁场的影响下保持不变。在这项研究中，我们以前的工作大大扩展，为无质量颗粒提供了多种变性的解决方案。计算了与这些溶液相对应的电磁场，还提供了有关空间恒定电磁场和电磁波的示例。此外，提出了一些Weyl方程的一般解决方案，并计算了相应的电磁场。基于这些结果，提出了一种使用适当的电磁场完全控制Weyl颗粒量子状态的方法。最后，讨论了粒子获取质量时从退化到非分类溶液的过渡。
In a recent work, we have shown that all solutions to the Weyl equation and a special class of solutions to the Dirac equation are degenerate in the sense that they remain unaltered under the influence of a wide variety of different electromagnetic fields. In this study, our previous work is significantly extended, providing a wide class of degenerate solutions to the Dirac equation for massless particles. The electromagnetic fields corresponding to these solutions are calculated and examples regarding both spatially constant electromagnetic fields and electromagnetic waves are also provided. Furthermore, some general solutions to the Weyl equation are presented, and the corresponding electromagnetic fields are calculated. Based on these results, a method for fully controlling the quantum state of Weyl particles using appropriate electromagnetic fields is proposed. Finally, the transition from degenerate to non-degenerate solutions as the particles acquire mass is discussed.
