概率数字特征方法在量子力学中的应用

Application of Probability Numeral Features in Quantum Mechanics

利用概率数字特征即随机变量的特征函数,求随机变量的n阶矩及随机变量的期待值和方差的方法,求解量子力学中的平均值.运用该方法,可以将积分运算转换为微分运算,从而使运算得到相当的简化.

In this article, the author uses the probability numeral features which is also called as random variable feature function to get the random variable＇s n-moment matrix, mathematical expectations and mean square error, so that the average value and mean square error in the quantum mechanics can be got. In this way, .the operation of integral can be transformed to operation of differential, so that the operation can be simplified.