由于坐标、动量算符的不对易性，坐标算符函数和动量算符函数的换序是量子力学中的一个基本问题.运用坐标表 象的完备性及有序算符内积分方法可以容易导出坐标、动量算符函数的换序公式，尤其是坐标算符与动量算符幂次换序可以 用一个双变量厄米多项式来表示.而且，用有序内积分方法可以导出坐标-动量中介表象的结构.

Because the coordinate and the momentum operator do not communte，the re-ordering of the coordinate and the momentum operator functions is a fundamental problem in quantum mechanics. Using the completeness of coordinate and momentum representation and the integration within ordered product of operators，the re-ordering formulas of the coordinate operator and momentum operator function can be easily derived. In particular，a bivariate Hermite polynomial can be used to express the re-ordering of the power of coordinate and momentum exponential operator neatly. Furthermore，the structure of the coordinate-momentum intermediary representation can be derived by the integration within ordered product of operators.