Solution of the relativistic Dirac-Morse problem

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.

Erratum: The last statement above Eq. (1) is now corrected and replaced by two new statements

References in corpus (2)

• Relativistic shape invariant potentials
• Reply to 'Comment on "Relativistic extension of shape-invariant potentials"'

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