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Asymptotic completeness of wave operators for Schr\"{o}dinger operators with time-periodic magnetic fields

Asymptotic completeness of wave operators for Schr\"{o}dinger operators with time-periodic magnetic fields

Under the effect of suitable time-periodic magnetic fields, the velocity of a charged particle grows exponentially in $t$; this phenomenon provides the asymptotic completeness for wave operators with slowly decaying potentials. These facts were shown under some restrictions for time-periodic magnetic fields and the range of wave operators. In this …