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J-matrix method of scattering in any L2 basis

H. A. Yamani·A. D. Alhaidari·M. S. Abdelmonem
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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.

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H. A. Yamani, A. D. Alhaidari, M. S. Abdelmonem. 2001-12-06. J-matrix method of scattering in any L2 basis. https://doi.org/10.1103/physreva.64.042703

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