Title: Reducibility of the Quantum Harmonic Oscillator in $d$-dimensions with Polynomial Time Dependent Perturbation,
Abstract: We prove a reducibility result for a quantum harmonic oscillator in arbitrary
dimensions with arbitrary frequencies perturbed by a linear operator which is a
polynomial of degree two in $x_j$, $-i \partial_j$ with coefficients which
depend quasiperiodically on time.