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Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III

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In this paper, we study the reducibility of time quasiperiodic perturbations of the quantum harmonic or anharmonic oscillator in one space dimension. We modify known algorithms obtaining a reducibility result… Click to show full abstract

In this paper, we study the reducibility of time quasiperiodic perturbations of the quantum harmonic or anharmonic oscillator in one space dimension. We modify known algorithms obtaining a reducibility result which allows us to deal with perturbations of order strictly larger than the ones considered in all the previous papers.In this paper, we study the reducibility of time quasiperiodic perturbations of the quantum harmonic or anharmonic oscillator in one space dimension. We modify known algorithms obtaining a reducibility result which allows us to deal with perturbations of order strictly larger than the ones considered in all the previous papers.

Keywords: reducibility schr; reducibility; quasiperiodic perturbations; schr dinger; time quasiperiodic

Journal Title: Journal of Mathematical Physics
Year Published: 2018

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