Reducibility of the Quantum Harmonic Oscillator in $d$-dimensions with Polynomial Time Dependent Perturbation

Abstract

We prove a reducibility result for a quantum harmonic oscillator in arbitrary dimensions with arbitrary frequencies perturbed by a linear operator which is a polynomial of degree two in $x_j$, $-i{\partial }_j$ with coefficients which depend quasiperiodically on time.

fixed some misprints

References in corpus (3)

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