Orbits of magnetized charged particles in parabolic and inverse electrostatic potentials
Orbits of magnetized charged particles in parabolic and inverse electrostatic potentials
复制标题
抛物线和反静电势中磁化带电粒子的轨道
DOI：
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发表时间：
2016
期刊：
影响因子：
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通讯作者：
P. Bellan
中科院分区：
文献类型：
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作者：
P. Bellan
给出了均匀轴向磁场和抛物线静电势共同作用下带电粒子轨道的解析解。这些轨迹对应于两个单独旋转的矢量之和，其中一个矢量以恒定的快频率旋转，另一个矢量以相同的意义旋转，但具有恒定的慢频率。这些解与Penning陷阱轨道和随机轨道有关。如果两个旋转矢量的长度相同，则粒子的正则角动量为零，在这种情况下，粒子轨道将穿过原点。如果电势与离电位源的距离成反比，粒子就会撞击电位源。绕轴轨道是指与快频率相关的矢量的长度比与慢频率相关的矢量的长度更长。非绕轴轨道正好相反。
Analytic solutions are presented for the orbit of a charged particle in the combination of a uniform axial magnetic field and parabolic electrostatic potential. These trajectories are shown to correspond to the sum of two individually rotating vectors with one vector rotating at a constant fast frequency and the other rotating in the same sense but with a constant slow frequency. These solutions are related to Penning trap orbits and to stochastic orbits. If the lengths of the two rotating vectors are identical, the particle has zero canonical angular momentum in which case the particle orbit will traverse the origin. If the potential has an inverse dependence on distance from the source of the potential, the particle can impact the source. Axis-encircling orbits are where the length of the vector associated with the fast frequency is longer than the vector associated with the slow frequency. Non-axis-encircling orbits are the other way around.