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。     

圆形面偶极层的静电势

讨论了圆形面偶极层静电势问题的正确解法,阐明了对于延拓法的正确理解,给出了有限间距时圆形平行板（分别带有异性面电荷）的静电势问题。     

共轴均匀带电薄圆盘间的相互作用力

本文利用静电场的高斯定律和环路定律巧妙地求出了均匀带电圆盘在空间任一点所产生的电场 ,进而计算出了共轴均匀带电薄圆盘之间的相互作用力     

格林互易定理在求解均匀带电圆环的静电势分布中的应用

对于静电场,由普遍的格林互易定理得出特殊情形下的格林互易定理.应用该定理推导出均匀带电圆环的数种在形式上互不相同的静电势分布解式.     

轴对称荷电动态黑洞的特征曲面

讨论了轴对称荷电动态黑洞的特征曲面,即类时极限面、表观视界和事件视界-分析了黑洞蒸发或吸收质量,以及黑洞电荷发生变化诸种情况- 关键词：     

轴对称荷电动态黑洞的量子热效应

讨论了轴对称荷电动态黑洞的Hawking辐射,得到了局部事件视界面方程和温度.结果显示黑洞的形状和温度不仅随时间变化而且随角度变化. 关键词：     

均匀带电薄圆盘的电势及等势面

根据电势的叠加原理，导出了均匀带电薄圆盘电势的级数表达式，并进而给出了等势面方程。     

变速旋转均匀带电薄圆盘空间电磁场 的迭代计算

利用场的轴对称性,巧妙联合运用麦克斯韦方程组,以轴线上的场为初值,通过反复迭代的方法,获得了变速旋转的均匀带电薄圆盘空间电磁场的无穷级数表达式。     

时间反演不变和轴对称限制条件下的EFV方法

本文在EFV方法一般公式的基础上,对HFB变换加上时间反演不变和轴对称两限制条件,给出了简化后的公式.这使EFV方法成为能描述偶偶核和奇奇核的任意动量及任意宇称的态,又能包括多种关联作用的,实用的核结构的微观描述方法.     

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.     

Concentration distribution of inequilibrium charge carriers for axially symmetric excitation

Computations are carried out of the concentration distribution of inequilibrium charge carriers in semiconductor material with no restrictions on the excitation form — photo-excitation or excitation by electron beam, etc. — and likewise no restrictions on the spatial map of excitation except for axial symmetry of the excitation function. Some particular cases are considered.Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 8, pp. 47–51, August, 1971.     

均匀带电薄圆盘的电场

通过解拉普拉斯方程导出均匀带电薄圆盘的电势和电场的级数表达式,进而讨论均匀带电薄圆盘平面内、中心轴线上和远区的电场。     

外加直流电场作用下高阶弱非线性复合介质的电势分布

利用同伦分析方法, 研究了一类由柱形杂质随机嵌入基质所形成的、电场和电流密度满足J = σ E + χ |E|²E + η|E|⁴E 形式本构关系的高阶弱非线性复合介质在外加直流电场作用下的电势分布问题. 首先利用模函数展开法, 将本构方程及边界条件化成了一系列非线性常微分方程的边值问题; 再利用同伦分析方法进行求解, 给出了电势在基质和杂质区域的渐近解析解. 关键词： 高阶弱非线性复合介质 模函数展开法 同伦分析方法 电势分布     

也谈均匀磁场中旋转的中性轴对称导体上的电荷分布

严格证明了中性轴对称导体在均匀外磁场中旋转时,等势面为同轴圆柱面,并由电荷守恒定律证明该轴上的磁场精确等于外磁场Bo。同时还得出了该导体表面电荷密度的普遍公式。     

Electrostatic potential in cylindrical dielectric media using the image charge method

We derive a simple analytical expression for the electric potential produced by a point charge in a cylindrical pore with relative permittivity different from that of the surrounding medium. The interface between the pore and the surrounding media may contain electric charge or be electrically neutral. The expression reduces to the known solutions when the surrounding dielectric medium is identical to the pore or an electric conductor. We discuss the convergence of the series expansion and numerically evaluate the electrostatic potential inside the cylindrical pore. The calculated potential shows the effect of the dielectric permittivity difference of the media. The results demonstrate that the expression can be implemented in a numerical dynamic simulation of charged systems in cylindrical geometry. We also give an expression for the case when the source charge is in the medium outside the cylinder.