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We investigate the Zel'dovich effect in the context of ultra-cold,harmonically trapped quantum gases. We suggest that currently availableexperimental techniques in cold-atoms research offer an exciting opportunityfor a direct observation of the Zel'dovich effect without the difficultiesimposed by conventional condensed matter and nuclear physics studies. We alsodemonstrate an interesting scaling symmetry in the level rearragements whichhas heretofore gone unnoticed.

The Zel'dovich effect in harmonically trapped, ultra-cold quantum gases