We study the Schrodinger equation on R with a polynomial potential behaving as x(21) at infinity, 1 <= l is an element of N, and with a small time quasiperiodic perturbation. We prove that if the symbol of the perturbation grows at most like (xi(2) + x(2l))(beta/(2l)), with beta < l + 1, then the system is reducible. Some extensions including cases with beta = 2l are also proved.
Reducibility of 1-D Schroedinger equation with time quasiperiodic unbounded perturbations. I / D. Bambusi. - In: TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 0002-9947. - 370:3(2018), pp. 1823-1865. [10.1090/tran/7135]
Reducibility of 1-D Schroedinger equation with time quasiperiodic unbounded perturbations. I
D. Bambusi
2018
Abstract
We study the Schrodinger equation on R with a polynomial potential behaving as x(21) at infinity, 1 <= l is an element of N, and with a small time quasiperiodic perturbation. We prove that if the symbol of the perturbation grows at most like (xi(2) + x(2l))(beta/(2l)), with beta < l + 1, then the system is reducible. Some extensions including cases with beta = 2l are also proved.File in questo prodotto:
File | Dimensione | Formato | |
---|---|---|---|
1607.06650.pdf
accesso aperto
Tipologia:
Pre-print (manoscritto inviato all'editore)
Dimensione
333.27 kB
Formato
Adobe PDF
|
333.27 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.