%0 Journal Article %T Parametric Quantum Resonances for Bose-Einstein Condensates %A P. G. Kevrekidis %A A. R. Bishop %A K. £¿. Rasmussen %J Physics %D 2000 %I arXiv %X We generalize recent work on parametric resonances for nonlinear Schr{\"o}dinger (NLS) type equations to the case of three dimensional Bose-Einstein condensates at zero temperatures. We show the possibility of such resonances in the three-dimensional case, using a moment method and numerical simulations. %U http://arxiv.org/abs/cond-mat/0005024v1