Ground-state energy of confined charged bosons in two dimensions

Details Ground-state energy of confined charged bosons in two dimensions Ground-state energy of confined charged bosons in two dimensions

1998-06-22

arxiv.org/abs/cond-mat/9806256v1

Phys. Rev. B 59 (1999) 1653-56

Physics

Condensed Matter

8 pages, 3 ps figures

Scientific paper

10.1103/PhysRevB.59.1653

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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