波函数

The polarization of the atoms is shown with the help of Cornu spiral of the wave function and the temporal evolution of the real and imaginary part for the wave function.

利用波函数的Cornu蜷线和波函数的实部和虚部随时间的演化形式，展示了原子极化过程的物理细节。

Based on wave function expansion method, the potential functions of scattered waves are expanded into Fourier-Bessel series; and a set of cylindrical coordinate systems is utilized in such a way that it allows to solve the problem of multiple scattering; the solution is determined by imposing continuity and equilibrium conditions at the soil-pile interfaces.

采用波函数展开法，将散射波的势函数展开成Fourier-Bessel级数的形式，利用一组可以求解多散射问题的圆柱坐标系统和桩土界面处位移连续的条件，以及刚性桩的动力平衡条件，得到问题的理论解。

By using the group-chain, the wavefunctions of the 4f〓 configuration for RE ions are also expressed as linear combinations of group-chain basis functions in Butler's irreducible representation notation. The matrix elements of the CF Hamiltonian then are calculated by means of the Wigner-Eckart theorem and factorization lemma of the jm factors. Before the CF level fitting, a point-charge calculation of the conventional CF parameters B〓 has been performed by means of the lattice-sum technique from the known crystal structure data. The corresponding parameters in the group-chain are calculated by the conversion relationship between two schemes that proved identical in essence, which are usually used as initial values in the fit to the experimental levels. The ratios of the same k-value CF parameters are suggested as the constraint conditions in the fit, in order to utilize fully the symmetry distortion degree of the studied system.

利用群链理论，属稀土离子4f〓组态的波函数表示为以不可约表示标记的群链基波函数的线性组合；借助Wigner-Eckart定理和2jm和3jm因子的分解定律计算了晶场哈密顿的矩阵元；根据点电荷模型和已知晶体结构数据，利用点阵求和技术计算得到传统晶场参数B〓初值，相应的非传统形式的群链参数初值则由两种方案下的转换关系求得；这些初值通常作为非线性拟合晶场能级计算的初值，系统的对称性畸变信息则反映在以同阶晶场参数的比值作为能级拟合的约束条件。

By solving the Schrodinger equation and using the boundary conditions of delta function, We can get the Buttiker scattering Matrix.

通过解薛定谔方程求得自旋空间的波函数，再由边界条件确定波函数的振幅，进而求出散射矩阵。

They give accurate energies andoverlappings compared with the results of exact diagonalization in both field-free andmagnetic field conditions.

与精确对角化的结果相比较，试探波函数在无磁场和有磁场的情况下均能给出准确的能级，并且二者的波函数接近重合。

At the same time, it provides drawing procedure of VB so that it can draw pictures of the other wave function of the diatomic molecule and the picture of electronic cloud if do some changes to the procedure.

本文研究了绘制锂化氢分子波函数和电子云图形的方法，并给出了VB绘图程序，对程序略加求改，可以绘制其他双原子分子的波函数和电子云图形。

The paper studies the methods of drawing picture of the waves function in and electron cloud when the particle move in a box,presents all kinds of distributing picture s in two and three dimensional space and drawing picture program what writed with the BASIC language.

研究了势箱中电子运动波函数及电子云图像的绘制方法，给出了用ABSIC语言编写的作图程序及绘制的二维和三维势箱波函数、电子云分布

In this paper, the scattering of SH wave by the structure surface with multiple semi cylindrical medium inclusion is studied by using a function of complex variable and a multi polar coordinate method .

利用复变函数和多极坐标系的方法，研究了在结构表面上含有多个半圆形介质夹杂的散射问题，首先给出 SH波对多个半圆形介质夹杂的散射波函数，并利用多极坐标系的方法，来满足介质界面上的连续条件和表面上的边界条件，归结为对一组无穷代数方程组的求解，简化了问题的求解。

In this paper, the current states of research about the basic theory of harmonic oscillator and hydrogen atom in quantum mechanics are firstly reviewed. On base of it, and the relationships between harmonic oscillator and hydrogen atom in quantum mechanics are studied. By use of the relationships between the hermite polynomial and the laguerre polynomial, the eigenequations of one-dimensional harmonic oscillator and hydrogen atom are conversed into the same equations in form. Therefore the relationships between energy levels and wave functions of one-dimensional harmonic oscillator and hydrogen atom are found. Through the coordinates transform, the relationships between energy levels and wave functions of two-dimensional harmonic oscillator and hydrogen atom are found.

首先综述了谐振子与氢原子的基本理论的研究现状，并在此基础上对谐振子与氢原子的关系展开了研究，通过厄密特方程与拉盖尔方程的相互转化，将一维谐振子与一维氢原子的本征值方程转化为相同形式的方程，从而比较得出它们能量及波函数间的关系，并通过坐标变换将直角坐标系下二维氢原子的本征值方程转化成与曲线坐标系下二维谐振子的本征值方程相同的形式，从而得出二维氢原子与二维谐振子的能量及波函数的关系。

This characteristic could be qualitatively explained as interference between σ amplitude and π amplitude of electrons final wavefunction. It also depends on the impact parameters: the π amplitude contribution is dominant at small impact parameters, which leads to a symmetric velocity distribution around the internuclear axis. However, At large impact parameters the σ amplitude contribution increases relatively, resulting into a asymmetric electrons velocity distribution around the internuclear axis.

出射电子的上述分布特征可由出射电子波函数σ振幅和π振幅的干涉进行定性解释，σ振幅和π振幅对出射电子波函数的贡献与碰撞参数相关，在小碰撞参数下，π振幅的贡献更加明显；而在大碰撞参数下，σ振幅的贡献更加显著。

I didn't watch TV last night, because it .

昨晚我没有看电视，因为电视机坏了。

Since this year, in a lot of villages of Beijing, TV of elevator liquid crystal was removed.

今年以来，在北京的很多小区里，电梯液晶电视被撤了下来。