Physics – Atomic Physics
Scientific paper
2007-03-09
Phys. Rev. A 75, 062711 (2007)
Physics
Atomic Physics
24 pages, 5 figures
Scientific paper
10.1103/PhysRevA.75.062711
We formulate an algebraic relativistic 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 and having 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.
Abdelmonem M. S.
Al-Hasan A.
Alhaidari Abdulaziz D.
Bahlouli Hocine
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