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

2016/07/22 by Dario Bambusi, Bambusi, Dario
Computer Science · Mathematics · Physics and Astronomy · #35J10 #37K55 #Advanced Mathematical Modeling in Engineering #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1607.06650

openalex publication_date 2016/07/22 · openalex created_date 2022/10/01 · openalex updated_date 2026/07/28

Abstract

We study the Schrödinger equation on \R with a potential behaving as x^2l at infinity, l∈[1,+∞) and with a small time quasiperiodic perturbation. We prove that, if the perturbation belongs to a class of unbounded symbols including smooth potentials and magnetic type terms with controlled growth at infinity, then the system is reducible.

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