Binding Energy of an Off-Center Hydrogenic Donor Impurity in a Finite Confining Potential Quantum Well

The binding energy of an off-center hydrogenic donor impurity in a finite confining potential quantum well was calculated by using a variational method of the Bastard type. New analytical expressions for the binding energy and for the initial deviation from the result of an infinite confining potential well were derived for the ground energy state. The sign of the initial deviation was found to depend on the location of the impurity. The analytical expressions were utilized further to derive some other important parameters.