Ground-state properties of bosons in three- and two-dimensional traps
Condensed Matter
2009-10-31 v1
Abstract
We study trapped systems of bosons at zero temperature in three and two dimensions. Conditions are fulfilled for the application of Gross-Pitaevskii theory with a positive scattering length. Series expansions for ground-state properties are obtained in both the noninteracting and the strong-coupling (Thomas-Fermi) limits. From these expansions, analytic estimates are presented in the form of two-point Pad\'e approximants. We explicitly show the approximants for the total energy per particle and the chemical potential.
Keywords
Cite
@article{arxiv.cond-mat/9802023,
title = {Ground-state properties of bosons in three- and two-dimensional traps},
author = {Augusto Gonzalez and Aurora Perez},
journal= {arXiv preprint arXiv:cond-mat/9802023},
year = {2009}
}
Comments
LaTeX, 4 pages, 3 ps figures