The Dirac equation for a charged particle in a static electromagnetic field is written for the special case of a spherically symmetric potential. Besides the well-known Dirac-Coulomb and Dirac-oscillator potentials, we obtain a relativistic version of the S-wave Morse potential. This is accomplished by adding a simple exponential potential term to the Dirac operator, which in the nonrelativistic limit reproduces the usual Morse potential. The relativistic bound-states spectrum and spinor wave functions are obtained.
No takes yet. Share an insight, caveat, or question.
A. D. Alhaidari (2001) studied this question.
Synapse has enriched 2 closely related papers on similar clinical questions. Consider them for comparative context: