导体旋转椭球电学量的一种计算方法

用一种新方法，计算了孤立导体旋转椭球的面电荷密度、电容、电势和电场强度，并得出相应的解析表达式。     

在柱坐标系中求解轴对称的静电场

提出了求解轴对称静电场的柱函数展开法,推导出用对称轴上的电势分布表示空间电势分布的级数展开式,并给出了求解轴对称静电场的例子.     

Interior-Point Solver for Large-Scale Quadratic Programming Problems with Bound Constraints

In this paper, we present an interior-point algorithm for large and sparse convex quadratic programming problems with bound constraints. The algorithm is based on the potential reduction method and the use of iterative techniques to solve the linear system arising at each iteration. The global convergence properties of the potential reduction method are reassessed in order to take into account the inexact solution of the inner system. We describe the iterative solver, based on the conjugate gradient method with a limited-memory incomplete Cholesky factorization as preconditioner. Furthermore, we discuss some adaptive strategies for the fill-in and accuracy requirements that we use in solving the linear systems in order to avoid unnecessary inner iterations when the iterates are far from the solution. Finally, we present the results of numerical experiments carried out to verify the effectiveness of the proposed strategies. We consider randomly generated sparse problems without a special structure. Also, we compare the proposed algorithm with the MOSEK solver. Research partially supported by the MIUR FIRB Project RBNE01WBBB “Large-Scale Nonlinear Optimization.”     

二维非极性晶体中声学形变势表面磁极化子

本文研究磁场中二维非极性晶体通过形变势与声学声子强、弱耦合的表面极化子的性质。采用线性组合算符和拉格朗日乘子法导出表面磁极化子的基态能量。讨论了表面磁极化子的振动频率、基态能量和有效质量与磁场的关系。     

用改进的量子分子动力学研究中能重离子碰撞中多重碎裂

本文利用改进的量子分子动力学模型(MQMD)研究中能重离子碰撞中的多重碎裂过程.在MQMD的基础上通过模拟计算发现:MQMD由于考虑了动量相关势和Pauli势,极大地改善了多重碎裂产额的计算结果与实验数据的比较.同时研究了二者对碰撞动力学的不同影响.最后,讨论了理论计算与实验结果仍有矛盾的原因,并提出了进一步改进的方案.     

p型Se的电沉积及其转化为n型CdSe的机理研究

利用线性电位扫描光伏安法等技术研究钛基体上Se半导体薄膜的电化学形成及转化过程.实验结果表明,在H_2SeO_3溶液中进行电沉积可获得p型Se薄膜,它可在酸性CdSO_4溶液中阴极转化为n型CdSe.讨论了Se的电沉积动力学及其转化为CdSe的可能机理.所述原理可望用于p-n异质结的电化学制备.     

若干二维问题的WKB近似能级

讨论了二维空间的WKB近似方法，导出了Bohr-Sommerfeld量子化条件，并计算了若干具体问题的能级，包括中心势情况和Aharonov-Bohm势加中心势情况。     

Combination of pi and Golden Ratio in Lennard–Jones-Type and Morse-Type Potential Energy Functions

This paper tests the validity of a Lennard–Jones-type and Morse-type potential functions, consisting a combination of pi and golden ratio constants, for describing intermolecular and interatomic interaction energy. The adjustable parameter, n, can be obtained based on experimental data near the minimum well-depth or by parametric conversion from other established potential functions. The remarkably good correlation of the proposed potential functions with experimental data and other potential functions reveal an intriguing property of the relationship between pi and golden ratio within the context of chemistry.     

Spherical convolution operators in spaces of variable Hölder order

In this paper, we study the images of operators of the type of spherical potential of complex order and of spherical convolutions with kernels depending on the inner product and having a spherical harmonic multiplier with a given asymptotics at infinity. Using theorems on the action of these operators in Hölder-variable spaces, we construct isomorphisms of these spaces. In Hölder spaces of variable order, we study the action of spherical potentials with singularities at the poles of the sphere. Using stereographic projection, we obtain similar isomorphisms of Hö lder-variable spaces with respect to n-dimensional Euclidean space (in the case of its one-point compactification) with some power weights.     

Connections Between the Riemann and the Lorentz Force Laws

It is known that for the magnetic force due to a closed circuit, the Weber force law can be identical to the Lorentz force law. In this investigation it is shown that for both the electric and the magnetic force of the quasi-static case, the Riemann force law can be identical to the Lorentz force law, while the former is based on a potential energy depending on a relative speed and is in accord with Newton's law of action and reaction.