{
  "annotation_id": "69614566-11b4-490a-bd58-a43de9995f27",
  "date_created": "2026-03-02T18:00:39.227000Z",
  "date_modified": "2026-03-02T18:00:39.227000Z",
  "file_hash": "bd794d96a6d37677698d185c658191a51ef96a105a91035020e6e0499c7c42eb",
  "private": false,
  "record": {
    "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"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "aea7c744-05cb-4d99-b1ac-61b0b1acab71",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}