J-matrix method of scattering in any L2 basis
Atomic Physics
2009-11-07 v1 Quantum Physics
Abstract
The restriction imposed on the J-matrix method of using specific L2 bases is lifted without compromising any of the advantages that it offers. This opens the door to a wider range of application of the method to physical problems beyond the restrictive SO(2,1) dynamical symmetry. The numerical scheme developed to achieve this objective projects the J-matrix formalism in terms of the eigenvalues of a finite Hamiltonian matrix and its submatrices in any convenient L2 basis. Numerical stability and convergence of the original analytic J-matrix method is still maintained in the proposed scheme, which can be applied to multi-channel nonrelativistic as well as relativistic scattering problems.
Cite
@article{arxiv.physics/0112016,
title = {J-matrix method of scattering in any L2 basis},
author = {H. A. Yamani and A. D. Alhaidari and M. S. Abdelmonem},
journal= {arXiv preprint arXiv:physics/0112016},
year = {2009}
}