Ground-state properties of bosons in three- and two-dimensional traps
arXiv:cond-mat/9802023 · doi:10.1142/S0217979298001265
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 Padé approximants. We explicitly show the approximants for the total energy per particle and the chemical potential.
LaTeX, 4 pages, 3 ps figures