On reducibility of Quantum Harmonic Oscillator on ${\mathbb{R}}^d$ with quasiperiodic in time potential

Eric Paturel, Benoît Grébert

We prove that a linear d-dimensional Schr{ö}dinger equation on ${\mathbb{R}}^d$ with harmonic potential $|x{|}^2$ and small t-quasiperiodic potential $i\partial\_t u -- Δu + |x|^2 u +…