Reducibility of quantum harmonic oscillator on $R^d$ with differential and quasi-periodic in time potential

Zhenguo Liang, Zhiguo Wang

We improve the results by Grébert and Paturel in \cite{GP} and prove that a linear Schrödinger equation on $R^d$ with harmonic potential $|x{|}^2$ and small $t$-quasiperiodic potenti…