We present a kinetic energy operator and inner product that can be used to solve the Schroedinger equation in redundant coordinates. The goal is to develop equations and a computational procedure that can be used with N coordinates for a system with M degrees of freedom, where $N>M$. In chemical physics, this might be useful for exploiting symmetry or exploiting certain representations of potentials. Calculations demonstrate that the ideas work.

中文翻译：

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量子力学中的冗余坐标

我们提出了动能算子和内积，可用于在冗余坐标系中求解Schroedinger方程。目标是开发方程式和计算程序，该程序和计算程序可与N个坐标一起用于具有M个自由度的系统，其中$ñ>\mathrm{中号}$。在化学物理学中，这对于利用对称性或利用电势的某些表示可能很有用。计算表明，这些想法行之有效。