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

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

1997-07-24

arxiv.org/abs/cond-mat/9707258v1

Phys. Rev. B 56 (1997) 15740-43

Physics

Condensed Matter

4 pages, RevTeX, 3 ps figures

Scientific paper

10.1103/PhysRevB.56.15740

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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