Working in the effective-mass approximation, we apply a powerful convergent perturbative technique of Turbiners to the calculation of the ground state energy and the wave function of an exciton confined to a three-dimensional parabolic quantum dot. Unlike the usual Rayleigh-Schrodinger perturbation theory, Turbiners approach works well even in the regime of strong coupling and does not require the knowledge of the full solution to the undisturbed problem. The second-order convergent calculation presented below is in excellent agreement with the results of exact numerical simulations for a wide range of systems confinement parameters.
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