Ground-State Properties Of Bosons In Three And Two-Dimensional Traps

INTERNATIONAL JOURNAL OF MODERN PHYSICS B(1998)

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摘要
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 Pade approximants. We explicitly show the approximants for the total energy per particle and the chemical potential.
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ψ,in three dimensions is written as � − ¯ h,are dealing with ground-state properties. the gp equation for the condensate function,two dimensions,chemical potential,ground state,series expansion,three dimensions
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