EXACT SOLUTION OF THE DIRAC-EQUATION FOR A COULOMB AND SCALAR POTENTIAL IN THE PRESENCE OF AN AHARONOV-BOHM AND A MAGNETIC MONOPOLE FIELDS

In the present paper the problem of a relativistic Dirac electron is a nalyzed in the presence of a combination of a Coulomb field, a 1/r sca lar potential, as well as a Dirac magnetic monopole and an Aharonov-Bo hm potential. Using the algebraic method of separation of variables, t he Dirac equation expressed in the local rotating diagonal gauge is co mpletely separated in spherical coordinates, and exact solutions are o btained. The energy spectrum is computed and its dependence on the int ensity of the Aharonov-Bohm and the magnetic monopole strengths is ana lyzed. (C) 1995 American Institute of Physics.