Abstract
Through a suitable expansion of the Gross-Pitaevskii equation near the classical turning point, we obtain an explicit solution for the order parameter at the boundary of a trapped Bose gas interacting with repulsive forces. The kinetic energy of the system, in terms of the classical radius R and of the harmonic oscillator length , follows the law /N∝[ln(R/)+ const], approaching, for large R, the results obtained by solving numerically the Gross-Pitaevskii equation. The occurrence of a Josephson-type current in the presence of a double trap potential is finally discussed. © 1996 The American Physical Society.
- Received 11 April 1996
DOI:https://doi.org/10.1103/PhysRevA.54.4213
©1996 American Physical Society