直线分布点电荷体系的电场线方程中曲线簇参数取值范围的确定

对于沿直线分布的n个点电荷体系的电场线方程,给出了一种逐步调整的算法,由此可确定电场线方程中曲线簇参数C的取值范围.     

线电荷与带有半圆柱凸起的接地导体所形成的电场

利用复数坐标系z上的保角变换,计算长直线电荷与带有半圆柱凸起的接地导体所形成的电场,给出电势和场强分布,并利用软件MATLAB绘制出电场线和等势线(面)图.     

线电荷与介质圆柱所形成的电场

在线电荷电场的电势调和展开式的基础上,得出线电荷电场内存在介质圆柱时电势的级数解.并以此来分析长直线电荷与介质圆柱所形成的电场的电像,从而给出电势与电像有关的解析表达式,进一步得出等势线(面)与电场线方程,并利用软件MATLAB绘制出电场线和等势线图予以验证.     

利用Matlab模拟点电荷系的电场线和等势面

根据电场叠加原理,利用Matlab的绘图功能,绘出二维平面内点电荷系的等势面和电场线。以三个点电荷为例,模拟了它们的电场线和等势面,并通过改变电荷的位置和电荷量的大小对电场的分布情况进行分析比较,在教学中能起到很好的演示作用。     

由接地导体限定的无限深槽内线电荷的电场

利用复数坐标系z上的施瓦茨-克利斯多菲变换和镜像法,计算由接地导体限定的无限深槽内线电荷电场中的电势分布和场强分布,给出电场线与等势线方程,并利用数学软件Matlab绘制出其电势分布三维图、电场线和等势线(面)图.     

静电场的复势函数与模拟法描绘电场线的原理

静电场描绘是理工科院校普遍开设的物理实验题目，通常用恒定电流场来模拟静电场的电势分布，再由描绘出的等势线族根据它们和电场线(电力线)正交的特点徒手画出相应的电场线分布来。这样画出的电场线误差较大，很难给出电场线及电极表面电荷密度分布的准确物理图象．为解决这一同题，     

基于OpenGL的三维电场线模拟

在Visual C＋＋环境下,设计了一种基于OpenGL的三维电场线模拟软件。该软件采用微分方程法来生成电场线,可以准确地模拟不同观察视角下,静止点电荷的三维电场线。用户可以拖动鼠标随意转动观察视角,并可随意设置电荷个数、分布以及大小。     

GEM电极的三维电场分布计算

基于有限元方法对GEM电极的电场分布进行模拟和计算,得到了完整的三维电场分布.研究不同几何构型的GEM场强分布对电荷收集效率的影响,给出了4种构型GEM电极的电场线透过率分别为:双倒锥型33.12%;圆柱型34.85%;单锥型40.70%;单倒锥型16.70%.计算得到的电场线透过率比二维电场分布的结果更加接近实验结果     

电场线两大性质是静电场两大定理的形象表述

谁都知道电场线起于正电荷,止于负电荷,在无电荷处不中断.我们称此为电场线的性质1.你知道这是高斯定理的逻辑结果吗?你知道"没有高斯定理就没有性质1吗"?可是有人喜欢用"电场线在无电荷处不中断"这一性质轻易地证明高斯定理,这就犯了因果倒置的逻辑错误.     

用高斯定理推导共线电荷系的电场线方程

本文通过取电场线管和两个断面组成的高斯面,用高斯定理推导出了共线点电荷系的电场线方程,该方程能推广到一般的共线电荷系.用计算机软件画出了几种典型的共线电荷系的电场线.     

The Gravitational Field of a Circulating Light Beam

Exact solutions of the Einstein field equations are found for the exterior and interior gravitational field of an infinitely long circulating cylinder of light. The exterior metric is shown to contain closed timelike lines.     

电偶极子位于均匀介质球中时球外电场的研究

采用分离变量法求解了电偶极子位于均匀介质球中时复连通域的拉普拉斯方程和泊松方程,求出了球内外两种不同介质的电势分布和球面上的极化电荷分布;通过求解二阶非线性微分方程得到了球外的电场线函数;利用计算软件Math-ematica 5.0,作出了相应的相互正交的等势线簇图形和电场线簇图形,并且进行了必要的讨论.     

Axially symmetric stationary electrovac solutions

Perjes and Israel and Wilson have given independently a new class of solutions of the sourcefree Einstein-Maxwell equations, which can be interpreted as the external gravitational and electromagnetic fields of a spinning source with unit specific charge. Starting from Zipoy's solutions in oblate and prolate spheroidal coordinates for the source-free gravitational field we generate some axially symmetric stationary solutions of the source-free Einstein-Maxwell equations by using Perjes' method. All these solutions become Euclidean at infinity. The asymptotic behavior and the singularity of the solutions are studied in order to gain some insight into the nature of the source. The solution in prolate spheroidal coordinates is found to contain closed timelike lines.     

Conditions for the appearance of gravitational ultrarelativistic spin-orbital interaction

A qualitative analysis of the energy and momentum integrals for the Mathisson-Papapetrou equations in a Schwarzschild field is employed to determine the conditions under which all solutions of the exact Mathisson-Papapetrou equations corresponding to fixed initial coordinate and velocity values differ significantly from the solution of the abbreviated equations normally used for the same initial data. Numerical computer calculations provide additional indication of a difference in the world lines of the exact Mathisson-Papapetrou equations from solutions of the geodesic equations at ultrarelativistic velocity values. For high energy particles entering into the composition of cosmic rays one can expect appearance of gravitational ultrarelativistic spin-orbital interaction upon motion of such particles in the field of a neutron star.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 10, pp. 8–12, October, 1985.     

Nonlocality in quantum theory understood in terms of Einstein's nonlinear field approach

We discuss Einstein's ideas on the need for a theory that is both objective and local and also his suggestion for realizing such a theory through nonlinear field equations. We go on to analyze the nonlocality implied by the quantum theory, especially in terms of the experiment of Einstein, Podolsky, and Rosen. We then suggest an objective local field model along Einstein's lines, which might explain quantum nonlocality as a coordination of the properties of pulse-like solutions of the nonlinear equations that would represent particles. Finally, we discuss the implications of our model for Bell's inequality.This article is an extension and modification of a previously published article. (See Ref. 1.)     

Non‐Volkov solutions for a charge in a plane wave

As it is known, a set of solutions of the Klein‐Gordon and Dirac equations with a plane‐wave field was found for the first time by Volkov. We construct new solutions of these equations different from the Volkov ones. In particular, the new solutions are characterized by quantum numbers different from Volkov solutions. In fact, our result is based on the demonstration that the transversal charge motion in a plane wave can be mapped by a special quantum transformation to transversal free particle motion. Similarly, we find new sets of solutions of the Klein‐Gordon and Dirac equations with the combined electromagnetic field.     

Scalar and neutrino fields in the Gödel universe

Some properties of the Gödel universe are demonstrated, such as closed timelike lines, and new coordinates are found. The scalar and neutrino field equations are solved and the eigenvalue spectra are calculated. The scalar field has a discrete spectrum, but the neutrino field has, in addition, a continuous spectrum due to the coupling of neutrino spin and rotation in the Gōdel universe. The mode solutions do not form a complete set for either the scalar or neutrino fields; therefore, a quantum field theory cannot be constructed in the usual manner.     

Equations of Relativistic and Quantum Mechanics and Exact Solutions of Some Problems

Relativistic invariant equations are proposed for the action function and the wave function based on the invariance of the representation of the generalized momentum. The equations have solutions for any values of the interaction constant of a particle with a field, for example, in the problem of a hydrogen-like atom, when the atomic number of the nucleus Z > 137. Based on the parametric representation of the action, the expression for the canonical Lagrangian, the equations of motion and the expression for the force acting on the charge during motion in an external electromagnetic field are derived. The Dirac equation with the correct inclusion of the interaction for a particle in an external field is presented. In this form, the solutions of the equations are not limited by the value of the interaction constant. The solutions of the problem of charge motion in a constant electric field, problems for a particle in a potential well, and penetration of a particle through a potential barrier, as well as problem of a hydrogen atom are presented.     

腔体内传输线耦合的电磁仿真软件与传输线方程的混合算法

研究了一种有限积分法软件与传输线方程相结合的混合算法,用于解决复杂电磁环境下屏蔽腔体内传输线的电磁耦合问题。利用有限积分法软件实现屏蔽腔体的建模,仿真得到腔体内部空间电磁场分布,并设置电场探针提取出传输线的激励场。利用传输线方程建立腔体内传输线的耦合模型,将得到的传输线激励场引入到传输线方程作为等效分布电压和电流源。利用时域有限差分(FDTD)格式对传输线方程进行离散,从而迭代求解出传输线终端负载上的电压和电流响应。通过与文献以及传统数值算法的计算结果进行对比,验证混合算法的正确性。研究表明,该混合算法在模拟电大尺寸腔体内传输线的电磁耦合方面,具有较高的精度和计算效率。     

A variational principle for symplectic connections

We introduce a variational principle for symplectic connections and study the corresponding field equations. For two-dimensional compact symplectic manifolds we determine all solutions of the field equations. For two-dimensional non-compact simply connected symplectic manifolds we give an essentially exhaustive list of solutions of the field equations. Finally we indicate how to construct from solutions of the field equations on (M, ω) solutions of the field equations on the cotangent bundle to M with its standard symplectic structure.