The results of quantum photoabsorption calculations are presented for H, K, and Cs atoms in static electric fields. The recurrence spectra for <Lz>≠0 show features at scaled actions an order of magnitude shorter than for any classical closed orbit of this system. Two interesting manifestations are presented, and some of the systematics of the peak strengths are explored. These features suggest that closed-orbit theory may need to be generalized to account for these effects. A heuristic formula is presented that reproduces some of these effects.