论文标题
评论“狄拉克方程的非分散分析解决方案”
Comment on "Nondispersive analytical solutions to the Dirac equation"
论文作者
论文摘要
在我们的评论中，我们质疑\ cite {cc}作者提出的主张的有效性，即他们在外部{\ em依赖时间依赖性}电磁场中的狄拉克方程解决方案描述了电子的光束。在每个依赖时间的领域，无论多么弱，具有{\ em em finite}持续时间，都会有一个连续的电子 - 峰值对创造和歼灭。如果没有适当考虑这些过程，则DIRAC方程的数学解决方案不直接适用于现实的物理情况。特别是，平均值$ \ langle x \ rangle $和$ \ langle y \ rangle $的时间演变并不描述电子轨迹，而是电子和正电子电荷分布与病理特性（ZitterBewegung）的某种组合的运动。
In our Comment we question the validity of the claim made by the authors of \cite{cc} that their solutions of the Dirac equation in an external {\em time-dependent} electromagnetic field describe beams of electrons. In every time-dependent field, no matter how weak, which has {\em infinite} time duration, there is a continuous electron-positron pair creation and annihilation. Without the proper accounting for these processes, the mathematical solutions of the Dirac equation are not directly applicable to realistic physical situations. In particular, the time evolution of the average values $\langle x\rangle$ and $\langle y\rangle$ does not describe the electron trajectory but the motion of some combination of the electron and positron charge distributions with pathological properties (zitterbewegung).
