Solution of the Dirac equation with position-dependent mass in the Coulomb field
Mathematical Physics
2009-11-10 v1 math.MP
Abstract
We obtain exact solution of the Dirac equation for a charged particle with position-dependent mass in the Coulomb field. The effective mass of the spinor has a relativistic component which is proportional to the square of the Compton wavelength and varies as 1/r. It is suggested that this model could be used as a tool in the renormalization of ultraviolet divergences in field theory. The discrete energy spectrum and spinor wave-function are obtained explicitly.
Keywords
Cite
@article{arxiv.math-ph/0310030,
title = {Solution of the Dirac equation with position-dependent mass in the Coulomb field},
author = {A. D. Alhaidari},
journal= {arXiv preprint arXiv:math-ph/0310030},
year = {2009}
}
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6 pages