Abstract
The ground state binding energy of a hydrogenic impurity placed on the axis of a cylindrical quantum-well wire is calculated including the effects of the image charges and the finite barrier. A variational anzatz for the wave function of the electron, that takes into account the three-dimensional behavior of the electron in small wires, has been used. Numerical results for GaAs-Ga 1- x Al x As quantum-well wires show that the effects of the image charges cause a considerable enhancement of the ground state binding energy of the impurity, especially in the case of high values of the Al composition and small wires.
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