We calculate the binding energies for shallow impurities in V-groove GaAs/A
lxGa1-xAs quantum wires using a variational technique. The carrier ground s
tates are calculated by an effective potential method together with a suita
ble coordinate transformation that allows the decoupling of the two-dimensi
onal wave function. This method enables a detailed calculation of binding e
nergies, providing an efficient tool for the study of impurity-related prop
erties in V-groove wires. We Show that the lateral confinement of the V-gro
ove potential localizes the impurity wave function very effectively in the
central region of the quantum wire.