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arXiv · 1910.10657

Reducibility of Schr\"odinger equation on a Zoll manifold with unbounded potential

Roberto Feola·Benoît Grébert·Trung Nguyen
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Abstract

In this article we prove a reducibility result for the linear Schr\"odinger 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.

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Roberto Feola, Benoît Grébert, Trung Nguyen. 2019-10-23. Reducibility of Schr\"odinger equation on a Zoll manifold with unbounded potential. https://doi.org/10.1063/5.0006536

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