Redundant Coordinates in Quantum Mechanics

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Date
2018
Authors
Toombs, Eric
Carrington, Tucker Jr
Keyword
Quantum Mechanics , Schroedinger Equation , Kinetic Energy Operator
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.