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Solution of the relativistic Dirac-Morse problem

A. D. Alhaidari
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Abstract

Dirac equation for a charged particle in static electromagnetic field is written for special cases of spherically symmetric potentials. 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 wavefunctions are obtained.

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A. D. Alhaidari. 2002-03-05. Solution of the relativistic Dirac-Morse problem. https://doi.org/10.1103/physrevlett.88.189901

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