Application of wavelets to singular integral scattering equations

Details Application of wavelets to singular integral scattering equations Application of wavelets to singular integral scattering equations

2004-06-28

arxiv.org/abs/nucl-th/0406079v1

Phys.Rev. C70 (2004) 034003

Physics

Nuclear Physics

Nuclear Theory

11 pages, 4 figures

Scientific paper

10.1103/PhysRevC.70.034003

The use of orthonormal wavelet basis functions for solving singular integral scattering equations is investigated. It is shown that these basis functions lead to sparse matrix equations which can be solved by iterative techniques. The scaling properties of wavelets are used to derive an efficient method for evaluating the singular integrals. The accuracy and efficiency of the wavelet transforms is demonstrated by solving the two-body T-matrix equation without partial wave projection. The resulting matrix equation which is characteristic of multiparticle integral scattering equations is found to provide an efficient method for obtaining accurate approximate solutions to the integral equation. These results indicate that wavelet transforms may provide a useful tool for studying few-body systems.

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