均匀电磁场中的带电粒子。群论分析

L.C. Chen , T. Janssen
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引用次数: 5

摘要

给出了均匀电磁场的相对论性对称群的一种新的协变导数。确定了带电粒子(经典、Klein-Gordon或Dirac)在此场中的运动方程的对称群及其不可约表示。利用这些表示讨论了运动方程的解。带电粒子在任意均匀场中的运动可以给出精确解。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
A charged particle in a uniform electromagnetic field a group-theoretical analysis

A new covariant derivation is given for the relativistic symmetry group of a uniform electromagnetic field. The symmetry group of the equations of motion of a charged (classical, Klein-Gordon or Dirac) particle in such a field and its irreducible representations are determined. Using the representations the solutions of the equations of motion are discussed. Exact solutions can be given for the motion of a charged particle in an arbitrary uniform field.

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