Ground-state properties of bosons in three- and two-dimensional traps

Details Ground-state properties of bosons in three- and two-dimensional traps Ground-state properties of bosons in three- and two-dimensional traps

1998-02-03

arxiv.org/abs/cond-mat/9802023v1

Int.J.Mod.Phys. B12 (1998) 2129-2138

Physics

Condensed Matter

LaTeX, 4 pages, 3 ps figures

Scientific paper

10.1142/S0217979298001265

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.

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