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We propose a simplified and computationally feasible model accounting for the dielectricconfinement in arbitrarily shaped many-electron quantum dots, within the local spin densityapproximation. The model yields quite a good agreement with full configuration interactioncalculations including exact dielectric confinement. The model is used to study the influence of thedielectric confinement on the electronic charge distribution of elongated quantum dots in the lowdensity regime

Dielectric confinement in quantum dots of arbitrary shape within the local spin density approximation: Diluted regimes in elongated quantum dots