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By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polynomials with the complex argument for the constitutive parameter.

应用圆柱波函数的球面波展开式和超几何函数理论,场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式;展开系数是以物性参数为复宗量的勒让德多项式。

By using the expansion of spherical wave functions for a cylindrical wave function and with the help of the theory of hypergeometric functions, the Sommerfeld type integral contained in the electromagnetic fields is expressed as a rapidly and absolutely convergent series of spherical wave functions; and the coefficients of the series are the Legender Polyno...

应用圆柱波函数的球面波展开式和超几何函数理论,场分量中的索末菲尔德型积分被表示成快速、绝对收敛的球面波函数系展开式;展开系数是以物性参数为复宗量的勒让德多项式。

On the other hand, since the integral of solid angle can be calculated aforehand, we are left with only radial momentum integral for numerical calculations.

胶子场的基函数以横电、横磁、纵向三种模式出现,展开系数具有直观的物理意义。

This method requires only the dimensions of systems and the expansion coefficient of density matrix which can be easily got, and the computation is easy, so it has its application value.

此判据仅依赖于系统的维数和密度矩阵的展开系数,而这些数据是易于求得的,使得量子纠缠态的判断简单易行且易于操作,在实际运用中具有理论价值。

The main contents and the contributions are as the follows:(1) The general form of the movement equations in terms of Taylor series is derived, for the first time the movement equations of electric power system is expressed by matrices, the characteristics of the coefficients of Taylor series is studied.

所得的主要研究成果如下:(1)推导了电力系统运动方程的高阶泰勒展开的一般形式,首次将电力系统状态方程的泰勒展开用矩阵表达,研究了泰勒展开系数的特性。

We discuss the relation of the expanding coefficient and the outfield when the order parameter is invariant, and we get a result similar to that of measuring the Frank elastic constant by outfield, the relation of the two kinds of the expanding coefficients is also gained indirectely.

Landau-P.G.de Gennes自由能密度表达式,并且讨论了当序参数恒定时在外场作用下展开系数与外场的关系,得到了与用外场测Frank 弹性常数相似的结果,间接得到了两种展开系数之间的关系,也为确定L。

Based on it, a new algorithm of the evaluation of the GRM expansion coefficients with fixed polarity based upon the triangle module was presented.

在此基础上提出了基于三角形结构计算GRM展开系数的新算法。

The GRM expansion coefficients with q polarity were formed by the left or right sides of the corresponding triangle cells, and may be also formed by the terms containing q in the subscript of ci in each line.

进一步分析表明极性为q的GRM展开系数即为自上向下由各行脚标中含q的项。

In this paper, the essential problems about the transformation matrix of B-spline bases-the conditions of existence, the analytic representation and the computational formulas of the transformation matrix are studied, and the results in those aspects are given.

本文研究其最基本的问题:存在性条件、解析表示和计算方法,利用差商展开系数得到了上述问题的有关结果。

By analysing the quantum-mechanical behavior of two ions, we obtain the exact quantum states with parameters in the experimental region.

dinger方程的精确解的基础上,我们设计程序计算了精确解——包含展开系数和系统的能谱。

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