Precise potential harmonic approach to directly solving Schrodinger equations of helium-like three-body systems

A complete potential harmonic scheme is presented,including the linked coupled hyperradial ordi nary differential equations and the secular equation of eigencnergy It has been used to directly solve the Scchrodinger equations of helium-like three-body systems (nuclear charge Z=1-9),and very accurate ground state eigonenergies as well as low-lying singlet excited state ones have been obtained     

Bounded Algebraic Geometry over a Free Lie Algebra

Bounded algebraic sets over a free Lie algebra F over a field k are classified in three equivalent languages: (1) in terms of algebraic sets; (2) in terms of radicals of algebraic sets; (3) in terms of coordinate algebras of algebraic sets.Supported by RFBR grant No. 02-01-00192a.__________Translated from Algebra i Logika, Vol. 44, No. 3, pp. 269–304, May–June, 2005.     

由次转移函数及进入律决定的马氏过程

本文从次转移函数和进入律出发 ,构造了一类轨道空间上的测度 ,在该测度下 ,坐标过程为具有吸收态的马氏过程     

色度学实验研究

本文通过实验验证了颜色相加、相减的规律及任意复色光与汞灯的色坐标、色调、色饱和度的测量及三原色滤色片的透过滤测定等各项实验内容。并对复色光的研究分别用精确算法与粗略算法进行了分析研究。     

On stress rate and plasticity constitutive equations referred to a body-fixed coordinate system

Investigators have viewed the stress rate in two different ways: the material (body-fixed) point of view and the Eulerian point of view. We discuss the Zaremba–Jaumann rate and Oldroyd’s rate from the material viewpoint and apply them to the material formulation of a theory of plasticity for materials undergoing anisotropic plastic deformation. Significant advantages of the material formulation are that the derivation of equations is straight forward, the distortion of yield surface can be easily accounted for, and the issue of self-consistent elastic equation does not arise.     

在伽利略坐标变换下的二端面弹性转轴相似动力学方程

在非相对论性原理下建立了二端面弹性转轴的相似动力学方程.使弹性转轴的动力学方程与地面坐标下的动力学方程相似,为相似工程学和计量、测控仪器的相似标定提供理论依据及方法 关键词： 二端面弹性转轴 相似模拟 坐标变换 相似动力学方程 标定     

Vertex function and coupling constant for the virtual decay of7Li

The alpha-triton relative wave function with various nucleon exchange contributions and their asymptotic normalization are considered in the framework of the generator coordinate method (GCM). The asymptotic normalization of relative wave function provide the estimate of the coupling constant. The relative wave function is also used to obtain⁷Li-α-t vertex function in the virtual decay of⁷Li. The extrapolation of vertex function for negative values ofq ² up to the alpha-triton pole provide the vertex constant, which is compared with the experimentally determined estimates 0.67 FM and 0.72 FM. Our calculated value is 0.656 FM which is in close agreement with the above estimates.     

惯性辅助电光测距技术研究与误差分析

将目标物上的某一点在两幅图像上的对应点之间的灰度值和坐标值进行比较，结合惯性导航系统的输出信号，可得到运载体与目标物间的距离。对惯性辅助电光测距方法进行了理论分析、测距仿真及误差分析。仿真结果与真实值之间的误差小于5%，表明了该算法的可行性和整个设计的可用性。     

移动的线源平稳随机荷载激励下梁的随机响应

利用广义Ｄｕｈａｍｅｌ积分和积分变换，研究了粘弹性Ｋｅｌｖｉｎ地基上无限长梁在运动的线源平稳随机荷载作用下的随机响应．发现此时梁的挠度响应为非平稳随机过程．通过引入随动坐标系，建立了有明确物理意义的随动谱分析方法，使随机位移响应在随动坐标系下成为平稳随机过程     

微分求积方法对于桩基大变形分析的应用

本文基于大变形的理论,采用弧坐标首先建立了具有初始位移的桩基的非线性数学模型,一组强非线性的微分-积分方程,其中,地基的抗力采用了Winkeler模型;其次,引入变数变换将微分-积分方程转化为一组非线性微分方程,并用微分求积方法离散了方程组,得到一组离散化的非线性代数方程;最后用Newton-Raphson迭代方法对离散化方程进行了求解,得到了桩基变形前后的构形、弯矩和剪力.计算中选取了两种不同类型的初始位移,并考察了它们对桩基大变形力学行为的影响.