一般扰动方程的优化正则化解

对于抽象空间中带有双方扰动的紧算子方程 ,借助文献 [2 ]所建立的正则化模式 ,通过先验选取正则参数 ,给出一种优化的正则解。     

异核氢分子离子HD+在磁场中的哈密顿量

考虑原子核的运动，通过球极坐标和直角坐标向椭球坐标的变换，采用特殊的变换方法，对平行磁场中的异核氢分子离子HD^＋的哈密顿量进行推导，同时构造出绝热厄密共轭哈密顿算符．     

以谱分解方法对随机摄动系统进行最优性能分析

We investigate the best performance for linear feedback control systems in the case that plant uncertainty is to be considered. First, we define an average integral square criterion of tracking error over a class of stochastic model errors. By utilizing spectral factorization to minimize the performance index, we derive an optimal controller design method and further study best performance in the presence of stochastic perturbation. The results can be used to evaluate optimal performance in practical control system designs.     

Hilbert K-模上的框架向量

引入了Hilbert K-模和它的标准正交基的概念,运用泛函分析和算子代数的理论知识研究了其上的酉系统以及框架向量的一些性质。并证明了Hilbert K-模上酉系统的框架向量的框架算子的一些特殊的有意义的性质。进而证明了Hilbert K-模上任一多重的完全框架向量都可由它的一个特殊的多重的完全正规紧框架向量逼近.     

Electronic structure and magnetism of RMn6 Sn6 (R=Tb,Dy)

This article reports first-principles band structure calculations for RMn6Sn6 (R=Tb, Dy). The calculation uses the linear muffin-tin orbitals (LMTO) method in the atomic-sphere-approximation (ASA), and yields results showing that both TbMn6Sn6 and DyMn6Sn6 are ferrimagnetic compounds with antiparallel aligned moments of R and Mn atoms. In this research the 4f states of R atoms are treated as localized states, i.e., the hybridization of 4f states with other valence electrons is neglected. The moments of Mn in both compounds were determined to be 2.43 μB and 2.38 μB, respectively. The considerably small additional moments for Mn from the spin-orbit coupling indicates that the spin-orbital coupling is not dominated for Mn atoms. The total moments of Tb and Dy atoms are 10.28 μB and 11.20 μB. All the calculation findings accorded well with experimental results.     

氢分子离子HD+的薛定方程的求解方法

从实验室坐标系下的氢分子离子与原子核之间的相互作用,讨论异核和同核氢分子离子HD^＋的薛定谔方程的Born-Oppenheimer近似求解方法和绝热近似求解方法,同时展示四种展开波函数的方法,其中包括Bsplines技术的应用.     

逐项逼近--普通话水平等级评定的主观性辅线

分析了普通话水平测试试卷各测试项目的相关度,并通过分析普通话教学过程中的一些普遍性的语言迁移规律,对普通话水平测试中的典型特征评价法作了初步探讨,揭示了普通话水平测试评级定等时逐项逼近和逐步验证这一主观性心理过程.