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

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.

6 pages

References in corpus (5)

• Solutions of the nonrelativistic wave equation with position-dependent effective mass
• Exact solvability of potentials with spatially dependent effective masses
• A systematic study on the exact solution of the position dependent mass Schroedinger equation
• Supersymmetric approach to exactly solvable systems with position-dependent effective masses
• Nonrelativistic Green's function for systems with position-dependent mass

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