dorsal/arxiv
View SchemaRelativistic scattering with spatially-dependent effective mass in the Dirac equation
| Authors | A. D. Alhaidari, H. Bahlouli, A. Al-Hasan, M. S. Abdelmonem |
|---|---|
| Categories | |
| ArXiv ID | physics/0703104 |
| URL | https://arxiv.org/abs/physics/0703104 |
| DOI | 10.1103/PhysRevA.75.062711 |
| Journal | Phys. Rev. A 75, 062711 (2007) |
Abstract
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.
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"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"
},
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