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arxiv: 1807.06328 · v1 · pith:DFDNRQ24new · submitted 2018-07-17 · 🧮 math-ph · math.MP

Reducibility of 1-d Schr\"odinger equation with unbounded time quasiperiodic perturbations, III

classification 🧮 math-ph math.MP
keywords perturbationsreducibilityquasiperiodictimealgorithmsallowsanharmonicconsidered
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In this paper we study reducibility of time quasiperiodic perturbations of the quantum harmonic or anharmonic oscillator in one space dimension. We modify known algorithms obtaining a reducibility result which allows to deal with perturbations of order strictly larger than the ones considered in all the previous papers.

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