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.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
poliharmonique7.pdf
accesso aperto
Tipologia:
Post-print, accepted manuscript ecc. (versione accettata dall'editore)
Dimensione
630.79 kB
Formato
Adobe PDF
|
630.79 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.