Abstract
The exact solutions of quantum system with a 1/r type potential are of importance in quantum mechanics. Due to the recent interest of the higher-dimensional field theory, many problems related to the Schrodinger equation and Klein-Gordon equation in (D+1) dimensions have been discussed. To fill in the gap between them, we have carried out the Dirac equation with this potential in (D+1) dimensions. In this Chapter, we shall study the exact solutions of the radial equations,the variations of energy difference and energy levels on the dimension D as well as the variations of energy levels on the potential strength. Finally, we deal with the Dirac equation with a Coulomb potential plus a scalar potential.
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