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Atoms confined in a harmonic potential show universal oscillations in 2D. Wepoint out the connection of these ''breathing'' modes to the presence of ahidden symmetry. The underlying symmetry SO(2,1), i.e. the two dimensionalLorentz group, allows pulsating solutions to be constructed for the interactingquantum system and for the corresponding nonlinear Gross-Pitaevskii equation.We point out how this symmetry can be used as a probe for recently proposedexperiments of trapped atoms in 2D.Comment: 4 pages, small changes in title and text, references adde

Breathing modes and hidden symmetry of trapped atoms in two dimensions