Redundant Coordinates in Quantum Mechanics

Abstract

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.