Solution of the relativistic Dirac-Morse problem
High Energy Physics - Theory
2009-11-07 v3
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.
Keywords
Cite
@article{arxiv.hep-th/0112003,
title = {Solution of the relativistic Dirac-Morse problem},
author = {A. D. Alhaidari},
journal= {arXiv preprint arXiv:hep-th/0112003},
year = {2009}
}
Comments
Erratum: The last statement above Eq. (1) is now corrected and replaced by two new statements