Hakan L. Eliasson and Sergei B. Kuksin
On reducibility of Schr\"odinger equations with 
quasiperiodic in time potentials
(306K, pdf)

ABSTRACT.  We prove that a linear $d$-dimensional Schr\"odinger equation with an 
$x$-perio\-dic and $t$-quasiperiodic potential reduces to an 
autonomous equation for most values of the frequency vector. The reduction is made by means of a non-autonomous linear transformation of the space of $x$-periodic functions. This transformation is a 
quasiperiodic function of $t$.