In this paper, we study the 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 us to deal with perturbations of order strictly larger than the ones considered in all the previous papers
Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III / D. Bambusi, R. Montalto. - In: JOURNAL OF MATHEMATICAL PHYSICS. - ISSN 0022-2488. - 59:12(2018 Dec 31), pp. 122702.1-122702.14. [10.1063/1.5048726]
Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III
D. Bambusi;R. Montalto
2018
Abstract
In this paper, we study the 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 us to deal with perturbations of order strictly larger than the ones considered in all the previous papers
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