波函数

The quantum amplitude amplification is the generalization of quantum Grover search algorithm. In this strategy, the Grover iteration has been replaced by two different quantum amplitude amplification operations. This makes it possible to collapse the system with probability 1, in other words, with certainty. The measurement operation in this scheme is only used to cancel the phase factor. Finally, one can use the admissible control to drive the system from the eigenstate to the target state and the control task is accomplished.

量子幅值放大是Grover迭代思想的一般化，该控制方案中采用两种不同的量子幅值放大操作替换了Grover迭代，使得期望本征态的概率幅的模在经过一定次数的迭代之后精确的等于1，然后借助于测量来消除相位因子，使系统的波函数确定性的塌缩到期望的本征态，最后再借助幺正演化，将系统从本征态控制到目标态，实现期望的控制任务。

First, one. analyzes the eigenstates-from reachable sets and seeks the one which the target state belongs to. Then using the Grover iteration to amplify the probability amplitude of the desired eigenstate (the modul square of which is the probability of the corresponding eigenstate that the system will collapse to when it is measured). By measuring, the system will then collapse to the desired eigenstate with a probability of almost unity. Finally, one can use the admissible control to drive the system from the eigenstate to the target state.

该策略的核心思想是对本征态能控的系统，通过分析控制目标态与本征态的关系，寻找给定目标态所属的本征态可达集，然后利用量子非结构化搜索的Grover算法，将任意给定的系统初始态经过一定次数的Grover迭代，放大该本征态所对应的概率幅(概率幅的模方对应测量时波函数塌缩到对应本征态的概率)，然后对迭代后的态进行一次测量操作，使系统以接近1的概率塌缩到所需的本征态(前面分析得到的本征态可达集所对应的本征态)，最后用容许的控制将系统从该本征态控制到期望的目标态。

In the case of ensuring the continuity of the wavefunction and the closing of the current, the analytic expression of the transmission coefficient is derived and the transmission properties are analysed.

在满足波函数的连续性以及电流的闭合性的情况下，得出了透射系数的解析表达式，并根据此表达式分析了电子的输运特性。

Particles, such as electrons, requiring antisymmetric wave functions are called fermions.

要求反对称波函数的粒子，如电子，叫做费米子。

Use of higher roots of (8.88) in (8.85) gives approximation to excited state wave function.

将（8.88）中的高值根用于（8.85），给出激发态波函数的近似。

The random phase approximation method and the Feymann-Hellman theorem are used to calculate the seventh order glueball mass of the 2+1-D SU(2) lattice gauge theory.

采用无规相近似方法，用空心图作为试探波函数，利用Feymann Hellman定理计算七阶 2 + 1维SU(2 )格点规范场的胶球质量，在弱耦合区 1/g2 =1。

" Orbital Mathematical expression, called a wave function, that describes properties characteristic of no more than two electron s near an atomic nucleus or molecule."

轨道：数学表述，称为波函数，它描述原子核附近的或分子中的原子核系统附近的电子不能多于两个这一特性。

The first wavelet function was a simple square waveform, developed by mathematician Alfred Harr in the early 1900s.

第一个小波函数是简单的方波，它是由数学家Alfred Harr在二十世纪初发现的。

Suppose the system went wrong (system frequency saltated at 100s and then recovered at 200s), the Wavelet function of signal processing is Daubechies Wavelet.

假设系统工作到100s时发生故障，频率发生突变，持续到200s时恢复正常，信号分析采用的小波函数为Daubechies小波。

For example, the free particle in our previous example will usually have a wavefunction that is a wave packet centered around some mean position x0, neither an eigenstate of position nor of momentum.

例如，在早先例子中的三个粒子将通常具有波包中心附近是某些所谓的位置x0的波函数，既不是位置特征值也不是动量特征值。

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。