利用磁矢势计算分离均匀载流薄圆筒周围的磁场强度

根据一对反平行无限长载流直导线周围等磁矢势线的特点,与分离载流薄圆筒表面的等磁矢势线进行类比,采用等效替代法方便地得到分离载流薄圆筒周围的等磁矢势线函数与磁场强度函数.     

螺旋对称磁场的计算

本文对于分布在无限长圆柱周界上的螺线电流产生的磁场用标势方法得出了普遍解,并且给出了导线在圆柱周界上平均分布时的磁场公式。同时,用矢势方法计算了导线为非无限长时的磁场公式。以上结果,在螺距趋于零的极限下得到了波纹磁场。     

关于稳定磁场矢势的一些问题

关于稳定磁场的矢势,在一般教科书中讨论较少,现将有关的一些问题分述如下。 一、矢势的引入: 1对稳定磁场有　故可设:A即为矢势。 2.若 式中ψ为任意标量函数。则因　所以有: 此即A′仍为矢势。(2)所表示的矢势的变换称规范变换。 3.若　,利用规范变换 若使　财可有 因A′也为矢势,故利用规范变换总可以找到散度为零的矢势。 满足的矢势称矢势的库仑规范。在稳定磁场中运用矢势时,总是认为矢势满足库仑规范。 4.若　进行规范变换　,则有若使　则有:　。这就是说,在矢势满足库仑规范时,仍可进行规范变换,只是此时标量函数平需满足拉普拉斯…     

无限长载流薄板磁场的矢势与磁感应强度计算及可视化

推导了无限长均匀薄板电流磁场的矢势和磁感应强度的解析式,将公式无量纲化,计算矢势和磁感应强度,画出中垂面上和板平面上矢势和磁感应强度曲线,并与直线电流磁场的矢势和磁感应强度进行比较,画出矢势和磁感应强度两个分量以及合磁场和方向曲面,画出了二维磁感应线,显示了磁感应强度分布规律.     

矢算变换在重矢积和重矢混合积积分中的应用

应用重矢积的矢算变换计算稳恒磁场中载流导线回路的磁力和导线回路定轴转动所产生的感应电动势。     

静磁外部球谐多极矩展开

本文讨论静磁球谐多极矩展开,包括静磁标势和静磁矢势的外部球谐多极矩展开.在磁矢势外部球谐多极矩分析中介绍了两种不同的方法,方法一基于磁标势外部球谐多极矩展开求惯用磁矢势外部球谐多极矩展开,方法二从电流对远源场点磁矢势场贡献出发借助德拜势直接求得静磁矢势外部球谐多极矩展开的惯用表示.     

在电磁学课程中引入磁矢势的做法和体会

在普通物理电磁学教学中，从来就重视电势与能量的讨论，一般局限于标势，对磁矢势介绍得很少．而在赵凯华，陈熙谋教授编写的《新概念物理教程》电磁学中，从磁高斯定理的积分形式出发，引入了磁矢势的概念，并且给出了计算磁矢势的一些特殊的例子．然而在课堂教学中要不要引入磁矢势，如何取材，学生能否接受，效果如何等，却是我们必须面对的问题．     

超导电子对波的长程相干性与AB效应

本文通过超导电子对波的长程相干性与AB效应的对比论证,进一步阐明了磁场矢势A是一种真实的物理存在,而且揭示了检验磁场矢势A物理存在的本质,无非是检验磁场矢势A在时空变化中所产生的某种真实的物理效应而已.     

关于由矢势A求力新方法的介绍

关于由矢势Ａ求力新方法的介绍乔唤兴（无锡轻工大学物理教研室无锡２１４０３６）本文主要介绍由矢势Ａ直接求力的新方法及其在电场力、磁场力计算中的几个具体应用［１］［。１１由矢势Ａ求电场力在没有源电荷存在的空间，电场不仅可用电势梯度表示而且也可以用矢势表示...     

稳定磁场矢势的边值关系

在利用矢势求解稳定磁场的边值问题时,矢势的边值关系是极为重要和必不可少的.但通常电动力学教科书中对矢势的边值关系讨论很少,《大学物理》今年的一篇文章中作了一些介绍①,讨论仍嫌不足.本文拟对此作进一步的阐述.一、矢势的边值关系 满足横场条件的矢势A的微分方程为其对应的积分形式为(4)式中L为S的边界线,(6)式中S为V的边界面,Jf为传导电流密度,M为介质的磁化强度.由(3)式过渡到(6)式的方法如下:将(3)式两边对体积V积分得再利用公式就得到(6)式.将方程(4)—(6)应用到不同介质分界处,可以导出矢势的边值关系,矢势的边值关系就是矢…     

Further Support of the Reliability of the Limit on Photon Mass Given by the Rotating Torsion Balance Experiment

We consider there is a vacancy in the plasma in the solar system,and calculate the vector potential produced by the magnetic field frozen in the plasma.The result shows that,in the vacancy,the vector potential produced by the magnetic field frozen in the plasma is much less than the large scale cosmic vector potential.This means if our earth is in such a vacancy,the total vector potential on the surface of the earth is dominated by the cosmic magnetic vector potential,which gives a further support of the reliability of the limit on photon mass given by rotating torsion balance experiment [Phys.Rev.Lett.90(2003) 081801].     

Further Support of the Reliability of the Limit on Photon Mass Given by the Rotating Torsion Balance Experiment

We consider there is a vacancy in the plasma in the solar system, and calculate the vector potential produced by the magnetic field frozen in the plasma. The result shows that, in the vacancy, the vector potential produced by the magnetic field frozen in the plasma is much less than the large scale cosmic vector potential. This means if our earth is in such a vacancy, the total vector potential on the surface of the earth is dominated by the cosmic magnetic vector potential, which gives a further support of the reliability of the limit on photon mass given by rotating torsion balance experiment [Phys. Rev. Lett. 90 (2003) 081801].     

Electronic Energy Band and Transport Properties in Monolayer Graphene with Periodically Modulated Magnetic Vector Potential and Electrostatic Potential

We investigated the electronic energy band and transport features of graphene superlattice with periodically modulated magnetic vector potential and electrostatic potential.It is found that both parallel magnetic vector potential and electrostatic potential can decisively shift Dirac point in a different way,which may be an efficient way to achieveelectron or hole filter.We also find that applying modulated parallel and anti-parallel magnetic vector potential to the electrons can efficiently change electronic states between pass and stop states,which can be useful in designing electron or hole switches and lead to large magneto-resistance.     

线电流与无限长磁介质圆柱系统的磁矢势的计算及讨论

用镜象电流法和分离变量法计算了线电流与无限长磁介质圆柱系统的磁矢势,指出线电流与无限大磁介质分界平面、线电流与超导体圆柱、均匀外磁场中有磁介质圆柱系统时的磁矢势都可以由线电流与磁介质圆柱系统的磁矢势的极限情形给出.     

载流有限长密绕螺线管的磁场分布

对于通以恒定电流的有限长螺线管,首先用柱函数展开法推导出矢势的表达式,再利用磁感应强度与矢势的关系式,得出积分形式的磁场表达式.然后用直接积分的方法计算出磁场分布的级数表达式.最后讨论了某些特殊位置处的磁场.     

有限长厚壁载流螺线管的磁场分布

对于通以恒定电流的有限长厚壁螺线管,用柱函数展开法推导出矢势的表达式,再根据磁感应强度与矢势的关系式得出磁场的积分形式表达式．用直接积分的方法,计算出厚壁螺线管内部和外部的磁场分布的级数表达式．另外还用本文得出的公式求得中轴线上的磁场．     

Spherical magnetic multipole moments system of currents

Concepts of spherical magnetic multipoles that represent distributions of electric currents over a spherical surface are introduced. Vector potentials of magnetic multipoles meet solenoidal- and harmonic-field conditions outside of the spherical surface and are continuous on it. Within the sphere, the vector potential of currents flowing outside of it is represented by the sum of vector potentials of basis magnetic multipoles with coefficients expressed by spherical multipole moments of system of currents. This expansion of the vector potential is in many respects analogous to the multipole expansion known from electrostatics. The first three terms of the expansion represent components of the well-known magnetic moment, the next five terms represent components of the magnetic quadrupole moment, etc. Possible applications of the magnetic spherical multipole technique are discussed. Krasnoyarsk State University. Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 66–72, October, 1999.     

任意两共轴圆线圈间的互感系数及磁感线的分布

从一个圆电流的矢势出发,导出了任意两共轴圆线圈间互感系数的函数表达式,根据其函数表达式,由数学软件MatLab绘出了互感系数随两线圈间距离及两线圈半径变化的分布图.然后再从一个圆电流的矢势出发,导出了任意两共轴圆电流线圈磁感线所满足的方程,按照磁感线方程也绘出了其磁感线在空间的分布图.