In this article we prove a reducibility result for the linear Schrodinger equation on a Zoll manifold with quasi-periodic in time pseudo-differential perturbation of order less or equal than $1/2$. As far as we know, this is the first reducibility results for an unbounded perturbation of a linear system which is not integrable.

中文翻译：

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具有无界势的 Zoll 流形上薛定谔方程的可约性

在本文中，我们证明了 Zoll 流形上线性薛定谔方程的可约性结果，其阶数小于或等于 $1/2$ 的准周期准时间伪微分扰动。据我们所知，这是不可积线性系统的无界微扰的第一个约化结果。