  The Exact Foldy-Wouthuysen transformation (EFWT) method is generalized here.
In principle, it is not possible to construct the EFWT to any Hamiltonian. The
transformation conditions are the same but the involution operator has a new
form. We took a special example and constructed explicitly the new involution
operator that allows one to perform the transformation. We treat the case of
the Hamiltonian with 160 possible CPT-Lorentz breaking terms, using this new
technique. The transformation was performed and physics analysis of the
equations of motion is shown.
