A PERTURBATION-VARIATIONAL TREATMENT OF HYDROGENIC IMPURITY STATES INQUANTUM WIRES

The binding energy of a hydrogenic impurity placed on the axis of a cy lindrical quantum-well wire is studied using a perturbation-variationa l expansion method to the first order in the perturbation expansion. T he variations of the binding energy with the radius and barrier height of the quantum-well wire are obtained. When the radius of the wire be comes very large or the barrier height of the quantum-well is very sma ll, the impurity behaves like a free hydrogenic atom with a ground-sta te energy of one effective Rydberg.