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Reducibility of the
quantum harmonic oscillator in $d$-dimensions with polynomial
time-dependent perturbation
Dario Bambusi, Benoît Grébert, Alberto Maspero and Didier Robert |
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Vol. 11 (2018), No. 3, 775–799
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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. |
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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Authors |
| Dario Bambusi | |
| Dipartimento di Matematica Università degli Studi di Milano Milano Italy |
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| Benoît Grébert | |
| Laboratoire de Mathématiques Jean
Leray Université de Nantes Nantes France |
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| Alberto Maspero | |
| International School for Advanced
Studies (SISSA) Trieste Italy |
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| Didier Robert | |
| Laboratoire de Mathématiques Jean
Leray Université de Nantes Nantes France |
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