Automatic grid construction for few-body quantum mechanical calculations
Computational Physics
2015-05-20 v2 Atomic and Molecular Clusters
Abstract
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.
Cite
@article{arxiv.1010.1241,
title = {Automatic grid construction for few-body quantum mechanical calculations},
author = {Vladimir Roudnev and Michael Cavagnero},
journal= {arXiv preprint arXiv:1010.1241},
year = {2015}
}