In this talk I will present two new results. In the first part I will present a new reducibility result of Nd quantum harmonic oscillators with quasiperiodic in time perturbations with only logarithmic decay. In the second part I will discuss the growth of the solutions of 1d quantum harmonic oscillators with time quasiperiodic at most quadratic perturbations. I will classify almost all the solutions in three types, among which a new type is found. In the end we will present a simple example to show the new type of the solutions can appear definitely.