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

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

2003-10-16

arxiv.org/abs/math-ph/0310030v1

Phys. Lett. A 322, 72 (2004)

Physics

Mathematical Physics

6 pages

Scientific paper

10.1016/j.physleta.2004.01.006

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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