By means of a variational scheme and in the effective-mass approximation we
have calculated the binding energy of shallow-donor impurities in rectangu
lar-transversal section GaAs-(Ga,Al)As quantum-well wires under an applied
electric field. We have considered an infinite confinement model to describ
e the barriers on the wire boundaries. Depending on the transversal sizes,
we can reproduce the results for the infinite quantum wells. We present the
results for donor binding energies and polarizabilities of the wires. Our
results are in good agreement with previous theoretical findings. This work
gives very important information about the binding energy and polarizabili
ty that can be taken into account in experimental work related to absorptio
n processes, and carrier dynamics. associated with impurities in these hete
rostructures. (C) 2001 Elsevier Science B.V. All rights reserved.