On the Breit potential

We show that the criticism of the well-known result for the spin—spin part of the Breit potential (see the paper by Kuz’menkov, Maksimov, and Fedoseev, 2001) is erroneous. We prove that the formula for the Breit potential presented in the book by Berestetskii, Lifshitz, and Pitaevskii is correct. __________ Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 146, No. 3, pp. 443–446, March, 2006.     

Exchange-enhanced spin-splitting in a two-dimensional electron gas in the presence of the Rashba spin–orbit interaction

We present a theoretical study on how many-body effects can affect the spin-splitting of a two-dimensional electron gas in the presence of the Rashba spin–orbit interaction. The standard Hartree–Fock approximation and Green's function approach are employed to calculate the energy spectrum and density of states of a spin-split two-dimensional electron gas (2DEG). We find that the presence of the exchange interaction can enhance significantly the spin-splitting of a 2DEG on top of the Rashba effect. The physical reasons behind this important phenomenon are discussed.     

Kinetics of residual gas adsorption on Ge(1 1 1) surface in low-energy electron backscattering

Low-energy (0.4-1.2 eV) electron backscattering is applied for the investigation of kinetics of residual gas adsorption effect on the concentration and energy positions of surface electron states of Ge(1 1 1) surface. Chemosorption of residual gas molecules on Ge(1 1 1) at P ∼ 10⁻⁷ Pa and room temperature is shown to be most active during the first 48 h. Low concentration of dangling valence bonds on the reconstructed Ge(1 1 1) (2 × 8) surface is shown to determine its low activity to chemosorption.     

Jump relations of the quadruple layer potential on a regular surface in three dimensions

The jump relations of the quadruple layer potential on a regular surface in three dimensions are derived. The jumps are shown to be proportional to the product of the density of the potential and the mean curvature of the underlying surface.     

Triphasic FE Modeling of the Skin Water Barrier

A skin–air model is developed to model the water barrier function of skin. The skin model is a porous solid saturated with a monovalent salt solution. The air model is a vapor diffusion model in non-moving air. In vivo measurements of water loss from human skin under varying ambient conditions are used to validate the model.     

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.