A new integral equation method for the numerical solution of the radial Schrödinger equation in one dimension, developed by the authors (1997, J. Comput. Phys. 134, 134), is extended to systems of coupled Schrödinger equations with both positive and negative channel energies. The method, carried out
Fredholm integral equation method for the integro-differential Schrödinger equation
✍ Scribed by Ick-Soon Chang; Sheon-Young Kang
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 287 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0898-1221
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✦ Synopsis
A new method based on the Clenshaw-Curtis quadrature for the numerical solution of the integro-differential Schrödinger equation is investigated. The method shows that it converges quickly and the truncation errors decrease faster than any power of the inverse number of the Chebyshev support points. Discretization technique is presented in detail. Accompanying C ++ code for the Fredholm type method is available upon request.
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