Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations, III

Abstract

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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Cited by in corpus (8)

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• Growth of Sobolev Norms in 1-d Quantum Harmonic Oscillator with Polynomial Time Quasi-periodic Perturbation
• Reducibility of 1-D Quantum Harmonic Oscillator with Decaying Conditions on the Derivative of Perturbation Potentials
• Almost reducibility and oscillatory growth of Sobolev norms
• Reducibility of 1-d Schrödinger equation with unbounded oscillation perturbations
• Reducibility of 1-d Quantum Harmonic Oscillator Equation with Unbounded Oscillation Perturbations
• 1-d Quantum Harmonic Oscillator with Time Quasi-periodic Quadratic Perturbation: Reducibility and Growth of Sobolev Norms