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Solution of the relativistic Dirac-Morse problem


Author(s) : Alhaidari AD, 
Publisher : AMERICAN PHYSICAL SOC
Publication Date : 2001
ISSN : N/A
Abstract : 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.,