介绍一种精确的方法, 在质心坐标系中, 把量子N体系统的整体转动自由度和内部运动自由度完全地分离开来. 对于确定的轨道角动量状态, 找到了一组完备且独立的角动量本征函数基, 它们是坐标分量的齐次多项式, 且满足Laplace方程. 系统中的任何角动量本征函数都可以用这组函数基展开, 组合系数只依赖于内部变量, 称为广义径向函数. 可以简单且明显地推导出广义径向函数所满足的广义径向方程. 函数和方程式都只依赖于(3N-6)个内部变量, 而且个数是有限的.
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