标题： 黄的方程和非交换空间中的带电相对论粒子 显示英文标题

标题： Wong's Equations and Charged Relativistic Particles in Non-Commutative Space

摘要： 类比于Wong方程描述带电相对论点粒子在外加杨-米尔斯场中的运动，我们讨论了这种粒子在非交换空间中受到外加$U_\star(1)$规范场作用下的运动。 我们得出结论，后者的方程仅在场强恒定的情况下才具有一致性。 这一基于Moyal空间中作用量表述的形式，相比完整非交换空间上的量子电动力学（QED）提供了更粗粒度的描述。 这些结果与从不同哈密顿方法得到的结果进行了比较。 此外，推导出了Wong方程和非交换空间中粒子运动的连续版本。 显示英文摘要

摘要： In analogy to Wong's equations describing the motion of a charged relativistic point particle in the presence of an external Yang-Mills field, we discuss the motion of such a particle in non-commutative space subject to an external $U_\star(1)$ gauge field. We conclude that the latter equations are only consistent in the case of a constant field strength. This formulation, which is based on an action written in Moyal space, provides a coarser level of description than full QED on non-commutative space. The results are compared with those obtained from the different Hamiltonian approaches. Furthermore, a continuum version for Wong's equations and for the motion of a particle in non-commutative space is derived.