交叉和纵向电磁场中的带电粒子和束流波导
Charged particles in crossed and longitudinal electromagnetic fields and beam guides
摘要：
我们考虑一类包含纵向电场和磁场的交叉场的电磁场。我们研究经典粒子在这样的场中的运动（洛伦兹方程的解）。然后，我们提出了一个分析，使人们能够决定哪些字段从类作为带电粒子的束导，我们发现一些时间无关和时间依赖的配置与束导性能。我们证明了Klein-Gordon和Dirac方程的所有领域从类可以精确地解决。我们研究这些解决方案，这是未知的，并证明他们形成完整的和正交的功能集。
英文摘要：
We consider a class of electromagnetic fields that contains crossed fields combined with longitudinal electric and magnetic fields. We study the motion of a classical particle (solutions of the Lorentz equations) in such fields. Then, we present an analysis that allows one to decide which fields from the class act as a beam guide for charged particles, and we find some time-independent and time-dependent configurations with beam guiding properties. We demonstrate that the Klein-Gordon and Dirac equations with all the fields from the class can be solved exactly. We study these solutions, which were not known before, and prove that they form complete and orthogonal sets of functions.
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