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In this paper, we give a characterization of the ranges of the wave operatorsfor Schrodinger equations with time-dependent short-range potentials by usingwave packet transform. We also give an alternative proof of the existence ofthe wave operators for time-dependent potentials and the asymptoticcompleteness for timeindependent potentials.

Characterization of the ranges of wave operators for Schrodinger equations with time-dependent short-range potentials via wave packet transform