We prove a reducibility result for a quantum harmonic oscillator in arbitrary dimension with arbitrary frequencies perturbed by a linear operator which is a polynomial of degree 2 in (xj, -iâ,j) with coefficients which depend quasiperiodically on time.
Reducibility of the quantum harmonic oscillator in d-dimensions with polynomial time-dependent perturbation / D. Bambusi, B. Grébert, A. Maspero, D. Robert. - In: ANALYSIS & PDE. - ISSN 2157-5045. - 11:3(2018), pp. 775-799. [10.2140/apde.2018.11.775]
Reducibility of the quantum harmonic oscillator in d-dimensions with polynomial time-dependent perturbation
D. Bambusi;
2018
Abstract
We prove a reducibility result for a quantum harmonic oscillator in arbitrary dimension with arbitrary frequencies perturbed by a linear operator which is a polynomial of degree 2 in (xj, -iâ,j) with coefficients which depend quasiperiodically on time.
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