论文标题
通用量子力溶液在均匀磁场中的扭曲电子溶液
General quantum-mechanical solution for twisted electrons in a uniform magnetic field
论文作者
论文摘要
在均匀磁场中的扭曲（和其他结构化）近似电子的理论得到了发展。相对论近端方程中获得的一般量子力溶液包含普遍接受的结果，作为非结构化电子波的特定情况。在弱场极限中，我们的解决方案（与现有理论不同）与自由扭曲电子束的知名方程一致。预测，相对论拉瓜埃尔 - 高斯梁的不同行为的可观察效果预测轨道角动量的相反方向从自由空间穿透到磁场。分析了统一磁场中速度和有效质量的量化特征。
A theory of twisted (and other structured) paraxial electrons in a uniform magnetic field is developed. The obtained general quantum-mechanical solution of the relativistic paraxial equation contains the commonly accepted result as a specific case of unstructured electron waves. In the weak-field limit, our solution (unlike the existing theory) is consistent with the well-known equation for free twisted electron beams. The observable effect of a different behavior of relativistic Laguerre-Gauss beams with opposite directions of the orbital angular momentum penetrating from the free space into a magnetic field is predicted. Distinguishing features of the quantization of the velocity and the effective mass of structured electrons in the uniform magnetic field are analyzed.
