Application of the spectral element method to the solution of the multichannel Schrodinger equation

作者:Simoni Andrea*; Viel Alexandra; Launay Jean Michel
来源:Journal of Chemical Physics, 2017, 146(24): 244106.
DOI:10.1063/1.4987026

摘要

We apply the spectral element method to the determination of scattering and bound states of the multichannel Schrodinger equation. In our approach, the reaction coordinate is discretized on a grid of points whereas the internal coordinates are described by either purely diabatic or locally diabatic (diabatic-by-sector) bases. Bound levels and scattering matrix elements are determined with spectral accuracy using relatively small number of points. The scattering problem is cast as a linear system solved using state-of-the-art sparse matrix non-iterative packages. Boundary conditions can be imposed so as to compute a single column of the matrix solution. A comparison with log-derivative propagators customarily used in molecular physics is performed. The same discretization scheme can also be applied to bound levels that are computed using direct scalable sparse-matrix solvers. Published by AIP Publishing.

  • 出版日期2017-6-28