Effect of crossed electric and strong magnetic fields on impurity states in a quantum well

An analytical approach to the problem of an impurity electron (or hole) in a quantum well (QW) subject to crossed electric and strong magnetic external fields is developed. The magnetic field is directed perpendicular to the heteroplanes. The dependencies of the impurity energy levels upon the width of the well, upon the position of the impurity within the QW and upon the magnitudes of the external fields are obtained. If the electric field increases in magnitude, if the width of the well decreases and if the impurity shifts from the middle point of the QW, the energy of the impurity electron increases in each case. It is shown also how the results may be extended to the effect of crossed fields to the case of a confined exciton.