Reducibility of 1-D quantum harmonic oscillator with new unbounded oscillatory perturbations

Jin Xu, Jiawen Luo, Zhiqiang Wang +1

Enlightened by Lemma 1.7 in \cite{LiangLuo2021}, we prove a similar lemma which is based upon oscillatory integrals and Langer's turning point theory. From it we show that the Schr…