波函数

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。

This paper analyzed the process of concrete component ultrasonic testing signals applying the wavelets technology and wavelet packages technology from the discomposed effect, the avoiding noise and the composition of the signal.

基于小波函数的特点，从小波分解的效果，小波降低信噪比等方面，系统地分析小波及小波包在混凝土构件超声信号检测中的应用，利用四阶 Daubechies小波函数建立了一小波消噪模型。

This thesis analyzes the energy eigenvalue and of the Harmonic oscillator with a one-dimensional δ-function, makes a comparative study of those of the one-dimensional harmonic oscillator, and analyzes the reason which causes their different quality and the different influences to the eigenvalue of the even parity energy and to the wave function when the number of the "Z" is different.

本文研究了一维δ势场中的谐振子的能量本征值及其本征波函数，并与一维谐振子的能量本征值和波函数进行了比较，分析了它们的性质不同的原因以及取不同势参数Z值时对偶宇称能量本征值和波函数的不同影响。

Finally, we constructed a Laughlin-type wave function for the fractional quantum Hall states in presence of an in-plane magnetic field.

最后，在有平面内磁场的情况下，类比于Laughlin波函数，我们试图构造一种朗道规范下的分数量子霍耳态的变分基态波函数，这一波函数的有效性有待于进一步的精确对角化计算的验证。

First of all, we use approximate method of the super-symmetric quantum mechanics to calculate super-potential and eigenvalues of spheroidal functions in the first several terms. Further more , we derive the ground eigenfunction in the first order terms, which is very useful for applying of the spheroidal wave function probably

首先我们使用近似的超对称量子力学方法计算出前几阶超势和广义椭球函数的本征值；接着根据之前所求得的超势和本征值推导出广义椭球函数一阶基态波函数，该超对称量子力学方法的引入及一阶基态波函数形式将有利于广义椭球函数深入研究

The ground-state binding energy of an exciton confined in quantum wires and quantum wells in the presence of a uniform electric field has been calculated under the effective-mass approximation using variational approach.

本文采用变分法研究了外加电场下无限深方形量子线中重空穴激子的束缚能，我们用平面波展开的方法求解在电场作用下无限深方形量子线中电子和空穴的基态能和基态波函数及低激发态的能量和波函数，并用所得到的波函数进一步计算激子的基态及低激发态的束缚能，最后计算了激子的Stark能移。

The wavelet function corresponding to a certain scale can be regarded as the transfer function of a band-pass filter according to the definition of CWT, thus, sampling the signal and the wavelet function respectively, the wavelet coefficients at this scale can be obtained by convolving the two time series.

根据CWT的定义，可将某一尺度下的小波函数看作一带通滤波器的传递函数，于是对信号和小波函数分别进行采样后，再利用快速傅里叶变换实现两个序列的线性卷积，便能求出相应尺度下的小波系数。

However, to construct a tensor product orthonomal wavelet basis in L〓, 2〓-1 different functions are used. Furthermore, it is concluded that the family, obtained by dilations and translations from this radial wavelet as well as their linear combinations, can constitute an orthonomal basis in L〓. The conclusion is a major breakthrough in multidimensional wavelet analysis.

从而得到：由一个径向小波的伸缩、平移系及其线性组合可以构成n维平方可积函数空间L〓的规范正交基，这个结果将当前利用张量积方法构造n维正交小波基所需要的2〓-1个不同的函数降为仅需要一个径向小波函数，这在理论上是一个重大突破；构造了同时具备局部支撑和无穷次连续可微性质的高维不可分小波的例子，这是不同于I。

In fact, the feature of isotropically metallic property at this filling is discerned from the experiment. Besides, through a simplified model, we prove that there is a discontinuous phase transition from the bubble state to the stripe state when the filling factor increases.

最后，在有平面内磁场的情况下，类比于Laughlin波函数，我们试图构造一种朗道规范下的分数量子霍耳态的变分基态波函数，这一波函数的有效性有待于进一步的精确对角化计算的验证。

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。