Wavelets in Momentum-Space Scattering Calculations
Nuclear Theory
2007-05-23 v1
Abstract
We demonstrate that wavelet bases have features that make them advantageous for solving momentum-space scattering integral equations. Using the example of two nucleons interacting with the Malfliet-Tjon V interaction, we show it is possible to reduce the size of the matrix representation of the Lippmann-Scwhinger equation by 96% with a loss of accuracy of only a few parts in a million. We also demonstrate that wavelet methods provide an accurate means for treating the singularities that appear in the scattering integral equations.
Cite
@article{arxiv.nucl-th/0308062,
title = {Wavelets in Momentum-Space Scattering Calculations},
author = {B. M. Kessler and G. L. Payne and W. N. Polyzou},
journal= {arXiv preprint arXiv:nucl-th/0308062},
year = {2007}
}
Comments
3 pages, 2 figures