  The exact Foldy-Wouthuysen transformation is performed in order to study the
Dirac field interacting with many possible external fields associated with
CPT-Lorentz violation. We also derived the calculation of equations of motion
as well as the generalized Lorentz force corrected by the mentioned external
fields. The main point is the interaction between the Dirac particle and the
terms that have the multiplication of electromagnetic field and the terms that
break CPT-Lorentz. Finally, with the transformed Hamiltonian we were able to
write an expression for the bound state of the theory and analyze it in the
atomic experiments context. This result is an analytical expression that gives
the possibility of the weakness of CPT/Lorentz terms to be compensated by the
presence of a strong magnetic field.
