We consider the Bose-Einstein condensate in a parabolic trap as a macroscop
ic quantum oscillator and describe, analytically and numerically, its colle
ctive modes - a nonlinear generalisation of the (symmetric and antisymmetri
c) Hermite-Gauss eigenmodes of a harmonic quantum oscillator. (C) 2001 Else
vier Science B.V. All rights reserved.