Automatic grid construction for few-body quantum mechanical calculations

Details Automatic grid construction for few-body quantum mechanical calculations Automatic grid construction for few-body quantum mechanical calculations

2010-10-06

arxiv.org/abs/1010.1241v2

Physics

Computational Physics

Scientific paper

An algorithm for generating optimal nonuniform grids for solving the two-body Schr\"odinger equation is developed and implemented. The shape of the grid is optimized to accurately reproduce the low-energy part of the spectrum of the Schr\"odinger 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.

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