Ground-state energy of confined charged bosons in two dimensions
arXiv:cond-mat/9806256 · doi:10.1103/PhysRevB.59.1653
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.
8 pages, 3 ps figures