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梯度磁场下两个相互作用电子的运动 被引量:1

MOTION OF TWO INTERACTIVE ELECTRONS IN GRADIENT MAGNETIC FIELD
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摘要 对梯度磁场下2个相互作用的电子的运动方程进行了理论推导,利用C语言程序对该运动方程组进行数值求解,通过观察双电子及其质心的运动轨迹图像,得出了两电子及其质心在梯度磁场中的长时间平均位移均沿着零磁感线的结论.此外,在经典理论下,研究了在梯度磁场与沿零磁感线方向的匀强电场的共同作用下,两个相互作用的电子的运动轨迹,其结果是电子并不一定沿零磁感线运动,甚至可能出现明显的偏离. Numerical analysis of trajectory of two interactive electrons in gradient magnetic field without electric field was presented. Numerical solution with C programming language showed that the average displacement of center of mass varied along curve where B=-0. Trajectory of two electrons in magnetic field and uniform electric field parallel to curve where B= 0 was also analyzed, which showed that electrons did not necessarily move along curve of B=0.
出处 《北京师范大学学报(自然科学版)》 CAS CSCD 北大核心 2013年第5期478-484,共7页 Journal of Beijing Normal University(Natural Science)
基金 2012年北京师范大学"本科生科学研究基金"资助项目
关键词 梯度磁场 匀强电场 双电子运动轨迹 平均位移 gradient magnetic field, uniform electric field, two interactive electrons, trajectory of twointeractive electrons, average displacement
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参考文献3

  • 1Nguyen K H. Hidden degree of freedom and critical phase in a twc~dimensional electron gas in the presence of a random magnetic field [J]. Physical Review B, 2002, 66(14) : 144201.
  • 2Muller J D. Effect of a nonuniform magnetic field on a two-dimensional electron gas in the ballistic regime[J]. Physical Review Letters, 1992,68(3) .. 385.
  • 3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),2011,47(4):354-358. 被引量:1

二级参考文献3

  • 1Nguyen K H. Hidden degree of freedom and critical phase in a two-dimensional electron gas in the presence of a random magnetic field [J]. Phys Rev B, 2002, 66(14):144201.
  • 2XieX C, Wang X R, Liu D Z. Kosterlitz-Thouless-Type metal-insulator transition of a 2D electron gas in a random magnetic field[J]. Phys Rev Lett, 2002,80(16):3563.
  • 3Muller J D. Effect of a non-uniform magnetic field on a two-dimensional electron gas in the ballistic regime[J]. Phys Rev Lett, 1992,68(3) : 385.

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