RECIPE FOR THE SOLUTION OF THE DIRAC-EQUATION BY THE BASIS SET EXPANSION METHOD

The problem arising due to the use of finite basis set expansion method for the solution of the Dirac equation in the Relativistic Mean Field theory, is analyzed, particularly the appearance of the ''Spurious'' states. A satisfactory prescription (or remedy) for the avoidance of these ''Spurious'' states is proposed. Illustrative results for this are presented. The proposed prescription is critically analyzed and it is shown to be consistent with that encountered for the spherical case in the molecular and atomic physics problems