most citedReducibility of 1-D Quantum Harmonic Oscillator with Decaying Conditions on the Derivative of Perturbation Potentials

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math.AP2023

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…