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Pade approximants for the ground-state energy of closed-shell quantum dots

A. Gonzalez·B. Partoens·F. M. Peeters
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Abstract

Analytic approximations to the ground-state energy of closed-shell quantum dots (number of electrons from 2 to 210) are presented in the form of two-point Pade approximants. These Pade approximants are constructed from the small- and large-density limits of the energy. We estimated that the maximum error, reached for intermediate densities, is less than 3%. Within the present approximation the ground-state is found to be unpolarized.

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A. Gonzalez, B. Partoens, F. M. Peeters. 1997-07-24. Pade approximants for the ground-state energy of closed-shell quantum dots. https://doi.org/10.1103/physrevb.56.15740

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