圆形面偶极层与圆电流的电磁场

通过解电场的轴对称边值问题求出了圆形面偶极层的电势分布，使用其结果和类比方法找到了圆电流的磁场分布。     

均匀带电圆盘的静电势问题

讨论了均匀带电圆盘静电势问题的两种解法，即延拓法和方程法，澄清了延拓法求解中的一些错误。     

一个关于勒让德多项式的积分公式及其简单应用——圆形带电环和电流环的静态电磁势

给出了一个关于勒让德多项式的积分公式及其证明,用该公式和叠加法方便快捷地导出了圆形带电环和电流环的静态电磁势.     

轴对称荷电圆盘的静电势

讨论了电荷分布呈轴对称时圆盘的静电势问题。用方程法和延拓法求解了电荷分布为幂函数时的静电势,在原有的延拓法则之外,总结出新的补充法则。     

纳米金属颗粒复合物中偶极相互作用的数字模拟

应用耦合偶极方程，描述了纳米尺寸金属颗粒复合物的偶极相互作用，计算在准静态近似下纳米尺寸的金、银及铜的复合物中，偶极相互作用的频率变量和衰变参量的波长相关特征，并对结果进行了分析。     

金属/有机半导体界面偶极层的研究

利用金属/无机半导体界面模型对金属/有机半导体界面偶极层进行了数值研究.讨论了界面处金属/有机半导体原子间距与化学键密度对界面偶极能的影响;分析了界面层电场强度随化学键密度变化的原因;对界面偶极能与金属功函数之间的关系给出了合理的解释.     

推算偶极振子电磁场的简单方法

偶极振子电磁场的分布和变化规律可以由麦克斯韦方程组严格计算出来，但由于计算繁杂和数学知识的限制，电磁学书中只进行定性讨论或直接给出结果再进行分析，学生不易接受．本文提出的图象、量纲分析法使偶极振子电磁场的求解大为简化，且物理概念清晰，在教学实践中效果较好．     

浅谈偶极振子辐射的图示

指出了目前物理教学中在偶极振子辐射的图示方面存在的一些问题,并就这些问题进行了分析、探讨。     

量子力学偶极求和规则和ψ(3770)的电偶极跃迁

本文对量子力学偶极求和规则进行了一些普遍的讨论.利用这些求和规则估算了ψ(3770)的电偶极跃迁宽度的上限和下限.结果表明.Mark Ⅲ组给出的实验值明显偏大.     

稠密共振介质中近偶极-偶极相互作用的局域场效应

 为研究存在由近偶极-偶极相互作用诱导的局域场效应时超短强激光脉冲与稠密共振介质相互作用的特性,采用光与物质相互作用的半经典理论,建立了稠密二能级体系中考虑原子间近偶极-偶极相互作用的修正光学Bloch方程,并用四阶Runge-Kutta法数值求解了该方程。研究结果表明:局域场效应对稠密二能级体系中Bloch矢量的瞬态相干过程和稳态性质都具有强烈的调制作用。并由此提出了调控稳态粒子数布居的两种方案。     

Electrostatic potential of several small molecules from density functional theory

A number of density functional theory (DFT) methods were used to calculate the electrostatic potential for the series of molecules N2, F2, NH3, H2O, CHF3, CHCl3, C6H6, TiF4, CO(NH2)2 and C4H5N3O compared with QCISD (quadratic configuration interaction method including single and double substitutions) results. Comparisons were made between the DFT computed results and the QCISD ab initio ones and MP2 ab initio ones, compared with the root-mean-square deviation and electrostatic potential difference contours figures. It was found that the hybrid DFT method B3LYP, yields electrostatic potential in good agreement with the QCISD results. It is suggest this is a useful approach, especially for large molecules that are difficult to study by ab initio methods.     

几个小分子静电势的密度泛函理论计算

运用多种密度泛函理论(DFT)方法和从头算(ab initio)方法,研究了具有代表性的一系列分子的静电势,选择QCISD计算出的分子静电势为标准静电势,通过比较多种DFT法和QCISD从头算,以及它们之间的均方根偏差和静电势差值曲线图,结果表明B3LYP-DFT法与QCISD-ab initio法计算结果较吻合,暗示了B3LYP-DFT法在得到分子静电势时是一个有用的工具,尤其对于从头计算难以进行研究的大分子体系.     

Electrostatic potential penetration into a circular enclosure with circular apertures

Electrostatic potential penetration into a circular enclosure with circular apertures is investigated. An electrostatic boundary-value problem of the circular enclosure with circular apertures is solved based on the Hankel transform, mode matching technique, and superposition. The polarizability of the circular apertures is represented in a series and calculated in terms of the aperture geometry to understand the behaviors of potential penetration.     

电偶极子与单摆

电偶极子是电磁学基本模型之一,其电场强度分布颇有特点.通常教材要么给出电势然后做梯度计算,要么通过矢量叠加直接给出场强,推导比较数学化,学生难以对偶极子场强特点和物理图像获得直观理解.本文把熟知的力学单摆和偶极子联系起来,通过力电类比给出偶极子电场的两种形式,特别是不依赖坐标的场强形式,清楚阐明了各分量特点,还给出类比...     

Electrostatic interaction of a spherical particle in the vicinity of a circular orifice

The electrostatic interaction of a charged spherical particle in the vicinity of an orifice plane has been investigated in this paper.The particle can creep along the axis of the orifice and is immersed in a bulk electrolyte.By solving the Poisson-Boltzmann problem,we have obtained the effective electrostatic interaction for several values of reduced orifice radius h,including the cases of h > 1,h = 1 and h < 1.Two kinds of boundary conditions of the orifice plane are considered.One is the constant potential model corresponding to a conducting plane,the other is the constant charge model.In the constant potential model,there is an electrostatic attraction between the particle and the orifice plane when they get close to each other,while there is a pure electrostatic repulsion in the constant charge model.The interactions in both boundary models are sensitive to the parameters of the reduced orifice radius,the reduced particle-orifice distance,surface charge densities of the particle and orifice plane,and the reduced Debye screen constant corresponding to the salt-ion concentration and ion valence.     

Electrostatic interaction between a rod-like macromolecule and a circular orifice/disk in an electrolyte solution

We present the solutions of the interaction energy for a colloid system with a charged rod-like macromolecule immersed in a bulk electrolyte and moving along the axis of a circular orifice or disk (orifice/disk).The calculation requires a numerical computation of the surface charge profiles,which result from a constant surface potential on the macromolecule and the orifice/disk.In the calculation,remarkable divergences of the surface charge emerge on the edges of the macromolecule and the orifice/disk,which are well-known edge effects.The anisotropic distribution of the surface charge (effective dipole) results in an attraction between these two charged objects.This attraction is enhanced with the increase of the screening length of the system for both the orifice and the disk systems.However,the sizes of the orifice and the disk reduce to different effects on the interaction energy.