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1D image-molecular quantum states in layered media

A charge carrier in a layered system experiences an additional Coulomb potential due to its interaction with its own set of images. The latter arise due to the differences between the dielectric properties of the layer materials. The charge can, further, form bound quantum states in its own image potential. The physical situation is examined here for a double heterostructure. It is first shown that for sufficiently large layer thicknesses, depending on the layer materials, the ground state exhibits image-molecular features. This is further substantiated by the numerical solution of the Schrodinger equation which provides predictions for a wide range of layer thicknesses by taking account of the multiple images.