 97640 Luca Salasnich
 The Role of dimensionality in the stability of a confined Bose gas
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Dec 19, 97

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Abstract. We study analytically the groundstate
stability of a BoseEinstein condensate (BEC) confined
in an harmonic trap with repulsive or attractive zerorange interaction
by minimizing the energy functional of the system.
In the case of repulsive interaction the BEC mean radius
grows by increasing the number of bosons,
instead in the case of attractive interaction
the BEC mean radius decreases by increasing the number of bosons:
to zero if the system is onedimensional and
to a minimum radius, with a maximum number of bosons,
if the system is threedimensional.
(To be published in Mod. Phys. Lett. B)
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97640.tex