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Solution of the Dirac equation with position-dependent mass in the Coulomb field

A. D. Alhaidari
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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.

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A. D. Alhaidari. 2003-10-16. Solution of the Dirac equation with position-dependent mass in the Coulomb field. https://doi.org/10.1016/j.physleta.2004.01.006

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