Exact solutions to the Dirac equation with a Coulomb potential in 2+1 dimensions

The (2 + 1)-dimensional Dirac equation with a Coulomb potential is investigated by studying a second-order differential equation obtained from a pair of coupled first-order ones. The solutions of the bound states expressed by the confluent hypergeometric functions are analytically obtained. The energy levels and their fine structures are also presented. (C) 2003 Elsevier Science B.V. All rights reserved.