Self-Similar Approximations for a Trapped Bose-Einstein Condensate
arXiv:cond-mat/0211318 · doi:10.1103/PhysRevA.66.025602
Abstract
An approximate solution to the Gross-Pitaevskii equation for Bose-Einstein condensate in a spherical harmonic trap is suggested, which is valid in the whole interval of the coupling parameter, correctly interpolating between weak-coupling and strong-coupling limits. This solution is shown to be more accurate than the optimized Gaussian approximation as well as the Thomas-Fermi approximation. The derivation of the solution is based on the self-similar approximation theory. The possibility of obtaining interpolation formulas in the case of nonspherical traps is discussed.
6 pages, Revtex, 3 figures (fig. 2b is absent)
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