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非均匀磁场下单个经典电子的运动
引用本文:吉九州,熊刚. 非均匀磁场下单个经典电子的运动[J]. 北京师范大学学报(自然科学版), 2011, 0(4): 354-358
作者姓名:吉九州  熊刚
作者单位:北京师范大学物理学系;
基金项目:国家自然科学基金资助项目(10604006)
摘    要:理论推导并用MATLAB数值求解了梯度磁场下单个电子的运动方程,得出了电子长时间平均位移是沿着磁场为零的线运动的结论.在此基础上,加上一个与电子平均运动方向相反的匀强电场,得出了其类似于匀减速直线运动的特性.再将情况进一步推广到随机磁场的情况,得出仅在随机磁场作用下,电子仍然沿着磁场强度等于零的线运动的结论.

关 键 词:梯度磁场  电子运动轨迹  匀强电场,随机磁场

MOTION OF SINGLE CLASSICAL ELECTRON IN A NON-UNIFORM MAGNETIE FIELD
JI Jiuzhou XIONG Gang. MOTION OF SINGLE CLASSICAL ELECTRON IN A NON-UNIFORM MAGNETIE FIELD[J]. Journal of Beijing Normal University(Natural Science), 2011, 0(4): 354-358
Authors:JI Jiuzhou XIONG Gang
Affiliation:JI Jiuzhou XIONG Gang(Department of Physics,Beijing Normal University,100875,Beijing,China)
Abstract:Both analytical and numerical analysis was done on single electron trajectory in gradient magnetic field without electric field.Numerical solution with MATLAB shows that the average displacement of single electron varies along a curve where H=0.Furthermore,when a uniform electric field against average electron movement was added,numerical solutions show similar character to uniformly decelerated rectilinear motion.In a random magnetic field,single electron still moves along a curve where H=0 on average.
Keywords:gradient magnetic field  trajectory of electron  uniform electric field  random magnetic field  
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