99-324 Luca Salasnich (INFM and Univ. Milano)

Time-Dependent Variational Approach to Bose-Einstein Condensation (32K, RevTex) Sep 5, 99

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Abstract. We discuss the mean-field approximation for a trapped weakly-interacting Bose-Einstein condensate (BEC) and its connection with the exact many-body problem by deriving the Gross-Pitaevskii action of the condensate. The mechanics of the BEC in a harmonic potential is studied by using a variational approach with time-dependent Gaussian trial wave-functions. In particular, we analyze the static configurations, the stability and the collective oscillations for both ground-state and vortices. (Submitted to Int. J. Mod. Phys. B).

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