重力场和正交均匀电磁场中的施轮线（摆线）

用初等方法证明等时摆的摆锤所描成的曲线和最速降落曲线都是旋轮线;证明在正交的均匀电场与均匀磁场中运动的带电粒子的轨迹也是旋轮线;讨论了重力场和正交均匀电磁场中质点的运动之间的类比。     

重力场和正交均匀电磁场中的旋轮线(摆线)

用初等方法证明等时摆的摆锤所描成的曲线和最速降落曲线都是旋轮线 ;证明在正交的均匀电场与均匀磁场中运动的带电粒子的轨迹也是旋轮线 ;讨论了重力场和正交均匀电磁场中质点的运动之间的类比     

带电粒子在正交电磁场中运动状态的计算机模拟

利用MATLAB软件模拟处在正交电磁场中的具有不同方向初速度的带电粒子的运动状态,粒子会呈现三种不同类型的运动轨迹,即长轴旋轮线状态、普通旋轮线状态和短轴旋轮线运动轨迹,对所得的三种状态进行分析。     

带电粒子在正交均匀的电磁场中的二维运动

通过论证,证明沿与磁场方向垂直的平面射入的带电粒子在正交均匀的电、磁场中运动轨迹是旋轮线,粒子的运动轨迹选择3种旋轮线中的一种.解决了一个常常困扰中学生的物理问题.     

带电粒子在正交恒定电磁场中运动状态的分析

由洛伦兹力公式出发,分析带电粒子在相互垂直的恒定电磁场中运动的方程,由此得到一些常见的运动轨迹,并给出带电粒子在电磁场中的一种新的轨迹——长辐旋轮线．     

带电粒子的旋轮线运动──从一道高考题谈起

带电粒子的旋轮线运动──从一道高考题谈起陈雪林（上海市郊工业学校）带电粒子以与匀强电场垂直方向的初速度，在电场中运动，其运动轨迹是抛物线。带电粒子垂直进人匀强磁场时，在洛仑兹力作用下作匀速圆周运动。如果带电粒子的初速度方向与匀强磁场的磁感应强度Ｂ成某...     

椭圆旋轮线

一条光滑曲线在另一条光滑曲线上无滑动滚动,滚动曲线上一点的轨迹就是广义旋轮线.利用弧长坐标,给出了广义旋轮线的轨迹方程.对于椭圆,画出了椭圆旋轮线轨迹.     

圆外(内)旋轮线演示仪的制作及研究

制做了圆外(内)旋轮线演示仪,并对其产生的图案进行了分析. 圆外(内)旋轮线演示仪能在较大规模的场合清晰、醒目地演示圆外(内)旋轮线,并能容易地在各个图案间切换.     

运动的复平面坐标描述及其应用几例

复平面坐标系在描述某些运动时具有独特的优点,在处理诸如显含速度的法向力(洛伦兹力、转动参考系中的科里奥利力等)作用下的圆周运动、旋轮线运动,以及某些情况下刚体的转动与滚动等运动时,采用此类坐标系都很方便。在该系中可以便捷地得出圆周运动的切向与法向加速度表达式,能够使一些在其他坐标系中解决起来比较复杂的问题得到简洁的处理。本文介绍运动的复平面坐标表示,并以正交电磁场中带电粒子的运动、水平转台上的小球滚动(来源于IYPT2015)等例子对其应用进行讨论。     

凹形曲面上纯滚刚体的等周期性讨论

质点在竖直面内旋轮线上作摆动时，已经证明周期是与摆幅无关，而匀称刚体在一个旋轮面上作纯滚摆动时，其周期是否也与摆幅无关呢？本文论述其摆动周期与摆幅有关，仅在刚体质心所走过的轨迹为旋轮线时周期与振幅才无关．     

Analysis of a relativistic ribbon-shaped beam of charged particles moving in crossed fields without allowance for the space charge

It is shown that, when placed in uniform crossed fields, a relativistic charged particle with an initial thermal velocity describes a prolate cycloid. Analytical formulas for the parameters of the relativistic ribbon-shaped beam (velocity straggling, oscillation amplitude, and spatial and time periods) forming in crossed fields are derived without allowance for space charge fields. All the desired parameters can be determined by presetting three initial parameters (beam velocity, magnetic field, and emitting surface area).     

Dipole radiation of a charged particle moving along a fractal trajectory

The dipole radiation of a charged particle moving along a closed fractal trajectory with constant velocity is studied. It is found that the spectrum intensity of the radiation is displaced to the high frequency region when reducing the spatial scale of the fractal trajectory and tends to zero if the trajectory is a true fractal.     

Effective 4D propagation of a charged scalar particle in Visser brane world

In this work we extend an analysis due to Visser of the effective propagation of a neutral scalar particle on a brane world scenario which is a particular solution of the five dimensional Einstein-Maxwell equations with cosmological constant having an electric field pointing in the extra spatial dimension. We determine the dispersion relations of a charged scalar particle to first order in a perturbative analysis around those of the neutral particle. Since depending on whether the particle is charged or not the dispersion relations change, we could collect bulk information, namely the presence of the electric field, by studying the 4D dynamics of the particles.It is a pleasure to dedicate this work to Alberto García on the occasion of his 60th birthday.     

带电粒子系统在双外场中的高温弱简并效应

用Thomas-Fermi半经典统计理论和方法,研究处于匀强电场加谐振场约束的带电粒子系统的热力学性质.首先导出外场约束下带电粒子系统的量子状态数密度,进而给出高温弱简并情况下带电粒子系统的化学势、内能和热容量的解析式,并分析电场和谐振场对系统化学势、内能和热容量的具体影响. 研究结果表明,带电粒子系统在双外场约束下具有高温弱简并效应. 关键词： 带电粒子 匀强电场 谐振场 高温弱简并效应     

Effect of polarization on a spin particle trajectory

It is demonstrated that the problem of determining the parameters of trajectories of spin particles and beam of rays in the case of radiation with allowance for polarization is reduced to a variational problem with higher derivatives. It is demonstrated that in the limit of small values of the curvature and torsion, the higher derivatives can be expressed through the parameters of the medium. In this case, the curvature and torsion together with the polarization projection onto the trajectory determine an analog of the 4-potential which in its turn specifies an analog of the electromagnetic field tensor where the projection of polarization onto the trajectory plays the role of charge for a charged particle. It is demonstrated that the Magnus optical effect for dissipative solitons is determined not only by helicity σ, but also by topological index m (by the projection of the orbital soliton momentum onto the soliton trajectory). In an inhomogeneous medium, a relationship between the Magnus optical effect and nonholonomicity of the field of unit vectors tangent to the trajectory is established.     

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讨论了静态非均匀磁场中的磁场旋度对带电粒子引导中心漂移的影响。运用三维矢量分析的方法,将带电粒子垂直于磁场运动所引起的磁场漂移分为两项,分别由磁场的曲率和磁场的旋度决定。给出了螺旋状环形磁场中由磁场旋度引起的磁场漂移的近似表达式,讨论了该漂移成分对于该磁场中通行粒子轨道和捕获粒子轨道的可能影响。结果表明,带电粒子垂直于磁场运动所引起的磁场漂移主要由磁场的曲率决定,而磁场旋度对该漂移的影响比较微弱。     

磁场旋度对磁场漂移的影响

讨论了静态非均匀磁场中的磁场旋度对带电粒子引导中心漂移的影响。运用三维矢量分析的方法,将带电粒子垂直于磁场运动所引起的磁场漂移分为两项,分别由磁场的曲率和磁场的旋度决定。给出了螺旋状环形磁场中由磁场旋度引起的磁场漂移的近似表达式,讨论了该漂移成分对于该磁场中通行粒子轨道和捕获粒子轨道的可能影响。结果表明,带电粒子垂直于磁场运动所引起的磁场漂移主要由磁场的曲率决定,而磁场旋度对该漂移的影响比较微弱。     

Effect of Ergodic and Non-Ergodic Fluctuations on a Charge Diffusing in a Stochastic Magnetic Field

In this paper, we study the basic problem of a charged particle in a stochastic magnetic field. We consider dichotomous fluctuations of the magnetic field where the sojourn time in one of the two states are distributed according to a given waiting-time distribution either with Poisson or non-Poisson statistics, including as well the case of distributions with diverging mean time between changes of the field, corresponding to an ergodicity breaking condition. We provide analytical and numerical results for all cases evaluating the average and the second moment of the position and velocity of the particle. We show that the field fluctuations induce diffusion of the charge with either normal or anomalous properties, depending on the statistics of the fluctuations, with distinct regimes from those observed, e.g., in standard Continuous-Time Random Walk models.     

Spin precession of a charged particle in a uniform magnetic field on a static space-time

We investigate the ratio of spin precession frequency to orbital frequency for a spinning charged particle confined to circular orbit in the equatorial plane of a compact object, with a uniform magnetic field, as described by the Wald and the Ernst potentials. In order to see the difference in behaviours for particles with differentg values we consider the cases of electron and proton separately.