Generalized Fredholm operator equation and its solution based on intermediate coordinate-momentum representation
Generalized Fredholm operator equation and its solution based on intermediate coordinate-momentum representation
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DOI：
10.1088/0031-8949/76/5/022
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发表时间：
2007-11
期刊：
影响因子：
2.9
通讯作者：
H. Fan;Qin Guo
中科院分区：
文献类型：
--
作者：
H. Fan;Qin Guo
基于中间的坐标-动量表示，我们构造了适当的广义Fredholm型算子方程，并求出了它的解。给出了该方程在Hermite多项式算子公式推导中的应用。证明了广义Wigner算符与统计学中随机变量的高斯二元分布形式之间的联系，这对于研究量子态的层析图像是有用的。
Based on the intermediate coordinate-momentum representations, we construct the appropriate generalized Fredholm operator equation and then find its solution. The application of this equation for deriving Hermite-polynomial operator formulae is demonstrated. The connection of the generalized Wigner operator to the form of the Gaussian bivariate distribution of random variables in statistics is shown, which is useful for studying the tomogram of quantum states.