Simplified Formula of Secular Equation for Hydrogen Atom in Stark Effect 氢原子斯塔克效应中久期方程的简化公式
Simplified formula of secular equation for hydrogen atom zeeman effect in a high magnetic field 在均匀强磁场中氢原子塞曼效应久期方程的简化公式
The formulation of Love wave secular equation and displacement distribution in layered soils with sloping layers is developed by using finite element method and analytical method in this paper. 利用有限元法及解析法相结合的方法建立了地基含有倾斜层时Love波弥散特征方程和位移计算公式。
According to the perturbation theory in degenerate state and wave function property of the hydrogen atom, the matrix element's distribution law in the secular equation is discovered. 根据简并态微扰理论和氢原子波函数的性质,得到久期方程中微扰矩阵元的分布规律。
The prevalent formula for nonzero perturbation matrix in the secular equation is gained by the perturbation theory in degenerate state and property of spherical harmonics function. 本文应用简并态微扰理论和球谐函数的性质,得到久期方程中非零微扰矩阵元普遍表达式。
The calculating of hydrogen atom's energy is very complicated in applying variational method and value method. It is difficult to calculate secular equation's n~ 2 high rank determinant by using the perturbation theory in degenerate state. 在应用变分法和数值法计算氢原子的能级过程中,计算十分复杂,而应用微扰法求解氢原子的能级,存在解久期方程的n2高阶行列式的困难。
The problem of achieving stable reliability analysis of piezoelectric trusses with random parameters was studied on the basis of the finite element analysis method and stable secular equation. 在有限元分析方法基础上,基于稳定特征方程对随机参数压电桁架结构进行稳定可靠性分析。
Reduction of the secular equation for triple& helical DNA 三螺旋DNA分子久期方程的约化
Analytical method is applied to construct the displacement distribution equation and the dispersion secular equation of Love wave generated by vehicle loads in two-layered ground. The dispersion characteristics and displacement distribution of Love wave under various loads are discussed. 运用解析法建立了交通荷载作用下双层地基中Love波的特征方程和位移表达式,并对方程进行了求解,得到了不同交通荷载情况下地基中Love波的弥散特性和位移分布情况。
The parameters of Coulomb interaction B and C and the parameter of the internal crystal field, D_q, for Or~ ( 3+) under cubic field are calculated using the secular equation of 3d~ 3 electrons. 使用3d~3电子久期方程计算3Cr~(3+)在立方场下库仑相互作用参数B、C和内晶格场参数Dq。
The dispersion secular equation of Stoneley waves in two infinite solid media is obtained. The characteristics of Stoneley waves in layered solid media are discussed by using the secular equation. 建立了成层无限固体介质中Stoneley波的特征方程,并利用这一特征方程进一步讨论了成层无限固体介质中Stoneley波的特性。
At short wavelength limits, the secular equations for symmetric and skew symmetric modes of wave propagation in a stress free insulated and isothermal plate reduce to Rayleigh surface wave frequency equation. 对短波的情况,应力自由热绝缘和等温板中对称和斜对称模态波传播的特征方程退化为Rayleigh表面波频率方程。
Firstly, the lower and upper bounds for the unique positive root of the secular equation are given. 首先给出长期方程唯一正根的上界和下界;
In order to avoid solving the secular equation, we deduce the approximate formula for computing the optimum loading factor to improve some existing algorithms. 为了避免求解长期方程,我们给出计算近似最优加载量的公式,从而改进了现有的一些算法。