Magnetic Moment to Second Order for Axisymmetric Static Field
Magnetic Moment to Second Order for Axisymmetric Static Field
复制标题
轴对称静场的二阶磁矩
DOI：
10.1063/1.1761557
复制
发表时间：
1966
影响因子：
4.6
通讯作者：
C. S. Gardner
中科院分区：
文献类型：
--
作者：
C. S. Gardner
小质量带电粒子在磁场中运动的磁矩是一个级数(一般不收敛)，μ=μ0+eμ1+e2μ2+⋯，其中μ0=v⊥2/B，e=m/e，其中μ1，μ2是粒子的空间坐标和速度分量的函数。级数μ具有时间导数形式为零的性质。对于一般场，给出了Kruskal的一阶修正μ_1的公式。本文针对轴对称静磁场的特殊情况，给出了二阶修正μ~2的公式。
The magnetic moment of a charged particle of small mass moving in a magnetic field is a series (in general not convergent), μ = μ0 + eμ1 + e2μ2 + ⋯, where μ0 = v⊥2/B, e = m/e and where μ1, μ2 are functions of the spacial coordinates and velocity components of the particle. The series μ has the property that its time derivative is formally zero. A formula is given for the first‐order correction μ1 by Kruskal for a general field. In this paper we give the formula for the second‐order correction μ2, for the special case of a static magnetic field with axial symmetry.