Abstract: | By following the Foldy-Wouthuysen(FW) transformation of the Dirac equation,we derive the exact analytic expression up to the 1/M~4 order for general cases in the covariant density functional theory.The results are compared with the corresponding ones derived from another novel non-relativistic expansion method,the similarity renormalization group(SRG).Based on this comparison,the origin of the difference between the results obtained with the FW transformation and the SRG method is explored. |