1998/06/22 by Augusto González, A. Gonzalez, B. Partoens +2 · 1 citation
Physics and Astronomy · #Advanced Chemical Physics Studies #Cold Atom Physics and Bose-Einstein Condensates #Quantum, superfluid, helium dynamics #cond-mat
paper · pdf · doi:10.1103/physrevb.59.1653
published as Phys. Rev. B 59 (1999) 1653-56 · 8 pages, 3 ps figures
arxiv created 1998/06/22 · openalex publication_date 1999/01/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The Pad'e 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 Pad'e sequence and comparison with the Monte Carlo results show that the error of the Pad'e estimate is less than 4% at any boson density and is exact in the extreme situations of very dilute and high density.