  The quantum two-center MICZ--Kepler system is considered in the limit when
one of the interaction centers is situated at infinity, which leads to
homogeneous electric and magnetic fields appearing in the system. The emerging
system admits separation of variables in the Schr\"{o}dinger equation and is
integrable at the classical level. The first order corrections to the
unperturbed spectrum of the ordinary MICZ--Kepler system are calculated.
Particularly, the linear Zeeman--effect and effects of MICZ-terms are analyzed.
The possible realizations of the system in some quantum dots are considered.
