Luca Salasnich
The Role of dimensionality in the stability of a confined Bose gas
(13K, Latex)
ABSTRACT. We study analytically the ground--state
stability of a Bose--Einstein condensate (BEC) confined
in an harmonic trap with repulsive or attractive zero--range 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 one--dimensional and
to a minimum radius, with a maximum number of bosons,
if the system is three--dimensional.
(To be published in Mod. Phys. Lett. B)