Abstract
The ground state properties of a Bose-Einstein condensate with repulsive or attractive inter-atomic interaction confined in axially symmetric magnetic trap are studied through the variational approach. It is shown that, if the trap has a high asymmetry and thus the equi-potential surface of the trap is of “cigar” or “pancake” shape, the properties of the condensate are drastically changed from the case of isotropic (spherically symmetric) trap.
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