The effect of non-sphericity of the quantum dot on the eigenvalues and eigenfunctions has been investigated for the case when the barrier height at the surface is finite. The ground and excited state energies have been calculated variationally for prolate and oblate spheroids as a function of eccentricity of the spheroid. Analytic wavefunctions giving the admixture of higher angular momentum states have been obtained as a function of eccentricity.
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