paper

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

arXiv:1807.06328 · doi:10.1063/1.5048726

Abstract

In this paper we study 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 to deal with perturbations of order strictly larger than the ones considered in all the previous papers.