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Ground-state energy of confined charged bosons in two dimensions

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

The Pade approximant technique and the variational Monte Carlo method are applied to determine the ground-state energy of a finite number of charged bosons in two dimensions confined by a parabolic trap. The particles interact repulsively through a Coulombic, 1/r, potential. Analytic expressions for the ground-state energy are obtained. The convergence of the Pade sequence and comparison with the Monte Carlo results show that the error of the Pade estimate is less than 4% at any boson density and is exact in the extreme situations of very dilute and high density.

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A. Gonzalez, B. Partoens, A. Matulis, F. M. Peeters. 1998-06-22. Ground-state energy of confined charged bosons in two dimensions. https://doi.org/10.1103/physrevb.59.1653

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