Efficient numerical solution of coupled radial differential equations in multichannel scattering problems

Conference paper

Efficient numerical solution of coupled radial differential equations in multichannel scattering problems

Houfek, K.

In: AIP Conference Proceedings 1048, International Conference on Numerical Analysis and Applied Mathematics 2008, pp. 265-268 (2008)

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Abstract

Numerical solution of coupled radial differential equations which are encountered in multichannel scattering
problems is presented. Numerical approach is based on the combination of the exterior complex scaling method and the finiteelements
method with the discrete variable representation. This method can be used not only to solve multichannel scattering
problem but also to find bound states and resonance positions and widths directly by diagonalization of the corresponding
complex scaled Hamiltonian. Efficiency and accuracy of this method is demonstrated on an analytically solvable two-channel
problem.

Institute authors

Houfek, Karel

Supported by

GACR 202/07/0833 — Towards nonlocal resonance dynamics of polyatomic systems
MSM0021620860 — Fyzikální studium objektů a procesů ve sluneční soustavě a v astro-fyzikálních systémech

BibTeX

@inproceedings{UTF447,
  author        = {Houfek, K.},
  title         = {{Efficient numerical solution of coupled radial differential equations in multichannel scattering problems}},
  booktitle     = {AIP Conference Proceedings 1048,  International Conference on Numerical Analysis and Applied Mathematics 2008},
  volume        = {1},
  pages         = {265-268},
  year          = {2008},
  url           = {http://proceedings.aip.org/resource/2/apcpcs/1048/1/265\_1},
}