Journal article
Application of wavelets to singular integral scattering equations
Physical review. C, Nuclear physics, Vol.70(3), 034003
09/01/2004
DOI: 10.1103/PhysRevC.70.034003
Abstract
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 are 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.
Details
- Title: Subtitle
- Application of wavelets to singular integral scattering equations
- Creators
- B. M Kessler - University of IowaG. L Payne - University of IowaW. N Polyzou - University of Iowa
- Resource Type
- Journal article
- Publication Details
- Physical review. C, Nuclear physics, Vol.70(3), 034003
- DOI
- 10.1103/PhysRevC.70.034003
- NLM abbreviation
- Phys Rev C Nucl Phys
- ISSN
- 0556-2813
- eISSN
- 1089-490X
- Publisher
- American Physical Society
- Language
- English
- Date published
- 09/01/2004
- Academic Unit
- Physics and Astronomy
- Record Identifier
- 9984428805002771
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