Reducibility of Schrödinger equation on a Zoll manifold with unbounded potential

Roberto Feola; Benoît Grébert; Trung Nguyen

doi:10.1063/5.0006536

paper

Reducibility of Schrödinger equation on a Zoll manifold with unbounded potential

arXiv:1910.10657 · doi:10.1063/5.0006536

Abstract

In this article we prove a reducibility result for the linear Schrödinger 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.