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

Augusto Gonzalez·Aurora Perez
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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.

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Augusto Gonzalez, Aurora Perez. 1998-02-03. Ground-state properties of bosons in three- and two-dimensional traps. https://doi.org/10.1142/s0217979298001265

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