Some exact solutions of the Dirac equation
  Exact analytic solutions are found to the Dirac equation for a combination of Lorentz scalar and vector Coulombic potentials with additional non-Coulombic parts. An appropriate linear combination of Lorentz scalar and vector non-Coulombic potentials, with the scalar part dominating, can be chosen to give exact analytic Dirac wave functions. 
A.S. de Castro (1), J. Franklin (2) ((1)UNESP/Campus de Guaratingueta,   (2) Temple University)