2007/03/09 by A. D. Alhaidari, H. Bahlouli, A. Al-Hasan +2 · 2 citations
Mathematics · Physics and Astronomy · #Quantum Chromodynamics and Particle Interactions #Quantum Mechanics and Non-Hermitian Physics #Spectral Theory in Mathematical Physics #physics.atom-ph #physics.gen-ph
paper · pdf · doi:10.1103/physreva.75.062711
published as Phys. Rev. A 75, 062711 (2007) · 24 pages, 5 figures
arxiv created 2007/03/09 · openalex publication_date 2007/06/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We formulate a relativistic algebraic method of scattering for systems with spatially dependent mass based on the J-matrix method. The reference Hamiltonian is the three-dimensional Dirac Hamiltonian but with a mass that is position-dependent with a constant asymptotic limit. Additionally, this effective mass distribution is locally represented in a finite dimensional function subspace. The spinor couples to spherically symmetric vector and pseudo scalar potentials that are short-range such that they are accurately represented by their matrix elements in the same finite dimensional subspace. We calculate the relativistic phase shift as a function of energy for a given configuration and study the effect of spatial variation of the mass on the energy resonance structure.