A theory of nonanalytic (long-range) exchange interaction between an dlectron and a hole is developed for zero-dimensional excitons in semicon- ductor nanostructures. Two particular cases are considered in detail: (i) that of exciton confined in a spherical nanocrystal and (ii) a quantum-well ex- citon localized as a whole on an anisotropic island of well-width momloayer fluctuation.
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