厄米算符

Through the Radon transformation of the normally ordered Wigner operator we introduce two mutually conjugate intermediate coordinate- momentum representations. Based on them we construct the appropriate quantum phase space theory which includes the new Wigner operator adapting to this space and construct the appropriate generalized Fredholm operator equation and then find its solution. We then deriving the Hermite polynomials operator identities by applying the Fredholm equation. We also reveal the connection between the generalized Wigner operator and the 2-dimension normal distribution in statistics, which is useful to study the quantum tomogram. As the application of the entanglement Husimi operator theory we calculate the Wigner function and the Husimi function of the one- and two-mode combination squeezed state , study their characters through drawing the three-dimensional graphics.

由正规序Wigner算符的拉登变换引入了两个互为共轭的中介坐标-动量表象，在此基础上我们建立了相应的量子相空间理论，其中包括引入适合该空间的新的Wigner算符；并在该表象的基础上，建立了广义Fredholm算符方程，求出了它的解，并运用该方程导出有关厄米多项式的算符公式；揭示广义Wigner算符与统计学中的随机变量的二维正态分布形式上的相似，这对于研究量子态的tomogram(是英文Tomography的派生词)有用。

Many texts define a Hermitian operator as the following equation that satisfies for all well-behaved functions f and g.

许多教科书将厄米算符定义为对所有的品优函数f和g满足下式的算符。

The grey scale of the pixels in image is expressed by quantum bit and the relation between two pixels is described by means of the superposition of two quantum bit in this paper.Based on this,the average of linear hermitian operator in this superposition can be used for judging the edge of image and a new method for edge detection of image is so created.The rationality of the method is interpreted by probability theory here.

利用量子比特表示图像像素的灰度，用双量子位叠加态来描述两像素之间的关联，通过线性厄米算符在该量子叠加态中的平均值来判断像素的边缘特征，由此建立了一种新的图像边缘检测方法，并从概率论的角度对该方法的合理性给予解释。

The questions involved are: concept of free particle,meaning of superposition principle,reason of assuming Hermitian operator,"interference of photons", identity principle and symmetrical postulat

讨论了量子力学中自由粒子的概念、叠加原理的意义、采用厄米算符的主要原因、"光子干涉"问题、全同性原理和对称化公设等几个问题。

Significant progress has been made by Dalibard,Dupont-Roc and Cohen-Tannoudji in 1982,who argued that there exists a symmetric operator ordering between the operators of atom and field that renders the distinct contributions of vacuum fluctuations and radiation reaction to the atom\'s spontaneous emission and energy shift separately Hermitian.

这种不确定性的根源来自于相互作用哈密顿量中原子和场算符的排序问题。1982年，法国物理学家Dalibard，Dupont-Roc和Cohen-Tannoudji提出原子和场算符对称排序的方法，从而消除了这种不确定性，使得真空涨落和辐射反作用对原子自发辐射和能级移动的贡献都是厄米的。

On the other hand, the more important thing is because the urban housing is a kind of heterogeneity products.

另一方面，更重要的是由于城市住房是一种异质性产品。

Climate histogram is the fall that collects place measure calm value, cent serves as cross axle for a few equal interval, the area that the frequency that the value appears according to place is accumulated and becomes will be determined inside each interval, discharge the graph that rise with post, also be called histogram.

气候直方图是将所收集的降水量测定值，分为几个相等的区间作为横轴，并将各区间内所测定值依所出现的次数累积而成的面积，用柱子排起来的图形，也叫做柱状图。