The selfconsistent Pauli equation

We deal with consistent first order non-relativistic corrections (i.e. in t he small parameter epsilon = 1/c, where c is the speed of light) of the Dir ac-Maxwell system. We discuss a selfconsistent modeling of the Pauli equati on as the O(epsilon) approximation of the Dirac equation. We suggest a coup ling to the "magnetostatic" O(epsilon) approximation of the Maxwell equatio ns consisting of Poisson equations for the four components of the potential . We sketch the semiclassical/nonrelatistic limits of this model.