dorsal/arxiv
View SchemaJ-matrix method of scattering in any L2 basis
| Authors | H. A. Yamani, A. D. Alhaidari, M. S. Abdelmonem |
|---|---|
| Categories | |
| ArXiv ID | physics/0112016 |
| URL | https://arxiv.org/abs/physics/0112016 |
| DOI | 10.1103/PhysRevA.64.042703 |
| Journal | Phys. Rev. A 64, 042703 (2001) |
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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"abstract": "The restriction imposed on the J-matrix method of using specific L2 bases is\nlifted without compromising any of the advantages that it offers. This opens\nthe door to a wider range of application of the method to physical problems\nbeyond the restrictive SO(2,1) dynamical symmetry. The numerical scheme\ndeveloped to achieve this objective projects the J-matrix formalism in terms of\nthe eigenvalues of a finite Hamiltonian matrix and its submatrices in any\nconvenient L2 basis. Numerical stability and convergence of the original\nanalytic J-matrix method is still maintained in the proposed scheme, which can\nbe applied to multi-channel nonrelativistic as well as relativistic scattering\nproblems.",
"arxiv_id": "physics/0112016",
"authors": [
"H. A. Yamani",
"A. D. Alhaidari",
"M. S. Abdelmonem"
],
"categories": [
"physics.atom-ph",
"quant-ph"
],
"doi": "10.1103/PhysRevA.64.042703",
"journal_ref": "Phys. Rev. A 64, 042703 (2001)",
"title": "J-matrix method of scattering in any L2 basis",
"url": "https://arxiv.org/abs/physics/0112016"
},
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