Reducibility of the quantum harmonic oscillator in d-dimensions with polynomial time-dependent perturbation

Authors :: Didier Robert
Benoît Grébert
Alberto Maspero
Dario Bambusi
Dipartimento de Matematica [Milano]
Università degli Studi di Milano [Milano] (UNIMI)
Laboratoire de Mathématiques Jean Leray (LMJL)
Centre National de la Recherche Scientifique (CNRS)-Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST)
Université de Nantes (UN)-Université de Nantes (UN)
ANR-15-CE40-0001,BEKAM,Au-delà de la théorie KAM(2015)
Source :: Anal. PDE 11, no. 3 (2018), 775-799
Publication Year :: 2018
Publisher :: Mathematical Sciences Publishers, 2018.
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.<br />fixed some misprints

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