• Corpus ID: 234482763

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

  title={Asymptotic completeness of wave operators for Schr\"\{o\}dinger operators with time-periodic magnetic fields},
  author={Masaki Kawamoto},
Abstract 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 study, we relax these restrictions and finally obtain the asymptotic completeness of wave operators. Additionally, we show them under… 


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  • Ann. 162,
  • 1966