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Beyond the Thomas-Fermi approximation for a trapped condensed Bose-Einstein gas | | Alexander L. Fetter
; David L. Feder
; | | Date: |
21 Apr 1997 | | Subject: | Statistical Mechanics | cond-mat.stat-mech | | Affiliation: | Stanford University) and David L. Feder (NIST | | Abstract: | Corrections to the zero-temperature Thomas-Fermi description of a dilute interacting condensed Bose-Einstein gas confined in an isotropic harmonic trap arise due to the presence of a boundary layer near the condensate surface. Within the Bogoliubov approximation, the various contributions to the ground-state condensate energy all have terms of order R^{-4}ln R and R^{-4}, where R is the number-dependent dimensionless condensate radius in units of the oscillator length. The zero-order hydrodynamic density-fluctuation amplitudes are extended beyond the Thomas-Fermi radius through the boundary layer to provide a uniform description throughout all space. The first-order correction to the excitation frequencies is shown to be of order R^{-4}. | | Source: | arXiv, cond-mat/9704173 | | Services: | Forum | Review | PDF | Favorites | |
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