Scattering Calculations with Wavelets
Nuclear Theory
2009-11-07 v1 High Energy Physics - Theory
Numerical Analysis
Abstract
We show that the use of wavelet bases for solving the momentum-space scattering integral equation leads to sparse matrices which can simplify the solution. Wavelet bases are applied to calculate the K-matrix for nucleon-nucleon scattering with the s-wave Malfliet-Tjon V potential. We introduce a new method, which uses special properties of the wavelets, for evaluating the singular part of the integral. Analysis of this test problem indicates that a significant reduction in computational size can be achieved for realistic few-body scattering problems.
Cite
@article{arxiv.nucl-th/0211016,
title = {Scattering Calculations with Wavelets},
author = {B. M. Kessler and G. L. Payne and W. N. Polyzou},
journal= {arXiv preprint arXiv:nucl-th/0211016},
year = {2009}
}
Comments
26 pages, Latex, 6 eps figures