Asymptotic formula for the condensate wave function of a trapped Bose gas
- 10 April 2000
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 61 (5) , 055601
- https://doi.org/10.1103/physreva.61.055601
Abstract
An analytical property is pointed out for the universal differential equation first derived by Dalfovo, Pitaevskii, and Stringari for the condensate wave function at the boundary of a trapped Bose gas. Specifically, the constant multiplying the Airy function of the solution asymptotically outside the trap is Accordingly, the Wentzel-Kramers-Brillouin approximation is determined in the case of a spherically symmetric harmonic potential. This calculation is related to Josephson-type currents flowing between well-separated traps.
Keywords
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