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Abstract
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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
with coefficients which depend quasiperiodically on time.
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Keywords
reducibility, harmonic oscillators, growth of Sobolev norms
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Mathematical Subject Classification 2010
Primary: 35J10, 37K55
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Milestones
Received: 18 February 2017
Revised: 6 September 2017
Accepted: 16 October 2017
Published: 22 November 2017
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