Phys. Rev. A 55, 2126–2131 (1997)Zero-temperature properties of a trapped Bose-condensed gas: Beyond the Thomas-Fermi approximationReceived 10 October 1996; published in the issue dated March 1997 We consider the leading corrections to the Thomas-Fermi approach to the description of the properties of a magnetically trapped, Bose-condensed cloud of atoms. Simple analytical expressions are derived for the kinetic energy in terms of an effective cutoff length, which we calculate numerically by considering the one-dimensional problem for a linear-ramp potential. We also determine the lowest angular velocity at which it is energetically favorable for a vortex to enter the cloud. For large clouds, our results are in excellent agreement with available numerical calculations. © 1997 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.55.2126
DOI:
10.1103/PhysRevA.55.2126
PACS:
03.75.Fi, 03.65.Db, 05.30.Jp, 32.80.Pj
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