Automatic grid construction for few-body quantum mechanical calculations
arXiv:1010.1241 · doi:10.1016/j.cpc.2011.05.003
Abstract
An algorithm for generating optimal nonuniform grids for solving the two-body Schrödinger equation is developed and implemented. The shape of the grid is optimized to accurately reproduce the low-energy part of the spectrum of the Schrödinger operator. Grids constructed this way are applicable to more complex few-body systems where the number of grid points is a critical limitation to numerical accuracy. The utility of the grid generation for improving few-body calculations is illustrated through an application to bound states of He trimers.