{
  "annotation_id": "10f09bcf-de96-49fe-973c-6bcd1b8b37de",
  "date_created": "2026-03-02T18:01:18.545000Z",
  "date_modified": "2026-03-02T18:01:18.545000Z",
  "file_hash": "5cda48b2757fc1439503259ebda5f270e46cdaecc03770ead807402538976d11",
  "private": false,
  "record": {
    "abstract": "We formulate an algebraic relativistic method of scattering for systems with\nspatially dependent mass based on the J-matrix method. The reference\nHamiltonian is the three-dimensional Dirac Hamiltonian but with a mass that is\nposition-dependent and having a constant asymptotic limit. Additionally, this\neffective mass distribution is locally represented in a finite dimensional\nfunction subspace. The spinor couples to spherically symmetric vector and\npseudo scalar potentials that are short-range such that they are accurately\nrepresented by their matrix elements in the same finite dimensional subspace.\nWe calculate the relativistic phase shift as a function of energy for a given\nconfiguration and study the effect of spatial variation of the mass on the\nenergy resonance structure.",
    "arxiv_id": "physics/0703104",
    "authors": [
      "A. D. Alhaidari",
      "H. Bahlouli",
      "A. Al-Hasan",
      "M. S. Abdelmonem"
    ],
    "categories": [
      "physics.atom-ph",
      "physics.gen-ph"
    ],
    "doi": "10.1103/PhysRevA.75.062711",
    "journal_ref": "Phys. Rev. A 75, 062711 (2007)",
    "title": "Relativistic scattering with spatially-dependent effective mass in the   Dirac equation",
    "url": "https://arxiv.org/abs/physics/0703104"
  },
  "schema_id": "dorsal/arxiv",
  "source": {
    "execution_id": "203c6ae4-0f65-4054-939d-98bd6f790e43",
    "id": "arXiv Dataset IDs",
    "type": "Model",
    "variant": "snapshot-2026-03-01",
    "version": "0.1.0"
  },
  "user_id": 1000002
}